We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: High School - Functions : High School: Functions

Study concepts, example questions & explanations for Common Core: High School - Functions

Create An Account

All Common Core: High School - Functions Resources

6 Diagnostic Tests 82 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

Certain diseases, such as bovine spongiform encephalopathy (mad cow disease), are caused by prions - misfolded proteins. These prions are irreversibly misfolded and cause subsequent misfolding of healthy proteins when they come into contact with them. Joe ate the meat of a cow with BSE, ingesting prions, and each prion caused the misfolding of a new protein every number of hours, is illustrated by the following function.

$P_{hours}(x)=34(2^x)$

where $P_{hours}(x)$ is how many misfolded proteins are present after hours.

What is the function for $P_{minutes}(t)$ ?

Possible Answers:

$P_{minutes}(t)=34(10120)^t$

$P_{minutes}(t)=34(101.2)^t$

$P_{minutes}(t)=34(10.12)^t$

$P_{minutes}(t)=34(1012)^t$

$P_{minutes}(t)=34(1.012)^t$

Correct answer:

$P_{minutes}(t)=34(1.012)^t$

Explanation:

This question tests one's ability to recognize real life situations where a quantity changes at a constant rate per an interval. It also builds on the concept of converting between units within a function. Questions like this, allow and encourage abstract reasoning and contextualizing.

For the purpose of Common Core Standards, recognizing situations where one quantity changes at a constant rate per interval relative to another, falls within the Cluster A of construct and compare linear, quadratic, and exponential model and solve problems concept (CCSS.Math.content.HSF.LE.A).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

This particular question is asking for the function when is in terms of minutes as opposed to the given function which has in hours.

Step 2: Identify the conversion factor.

The conversion factor will be from hours to days.

$1\textup{ hour}=60\textup{\ minutes}$

So if

$x=\textup{hour}$

then

$1\textup{ minute}=\frac{x}{60}$

Step 3: Manipulate the original function to get new function.

Given the original function:

$P_{hours}(x)=34(2^x)$

Let represent time in minutes

$P_{minutes}(t)=P_{minutes}\left(\frac{x}{60} \right )$

$\\P_{minutes}\left(\frac{x}{60} \right )=34(2^{\frac{1}{60}})^x \\\\P_{minutes}\left(\frac{x}{60} \right )=34(1.012)^x \\P_{minutes}(t)=34(1.012)^t$

Report an Error

Example Question #1 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

$P_{hours}(x)=49(2^x)$

where $P_{hours}(x)$ is how many misfolded proteins are present after hours.

What is the function for $P_{minutes}(t)$ ?

Possible Answers:

$P_{minutes}(t)=46(1.012)^t$

$P_{minutes}(t)=49(10.12)^t$

$P_{minutes}(t)=46(10.12)^t$

$P_{minutes}(t)=49(1.012)^t$

$P_{minutes}(t)=49(101.2)^t$

Correct answer:

$P_{minutes}(t)=49(1.012)^t$

Explanation:

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

This particular question is asking for the function when is in terms of minutes as opposed to the given function which has in hours.

Step 2: Identify the conversion factor.

The conversion factor will be from hours to days.

$1\textup{ hour}=60\textup{\ minutes}$

So if

$x=\textup{hour}$

then

$1\textup{ minute}=\frac{x}{60}$

Step 3: Manipulate the original function to get new function.

Given the original function:

$P_{hours}(x)=49(2^x)$

Let represent time in minutes

$P_{minutes}(t)=P_{minutes}\left(\frac{x}{60} \right )$

$\\P_{minutes}\left(\frac{x}{60} \right )=49(2^{\frac{1}{60}})^x \\\\P_{minutes}\left(\frac{x}{60} \right )=49(1.012)^x \\P_{minutes}(t)=49(1.012)^t$

Report an Error

Example Question #1 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

$P_{hours}(x)=12(2^x)$

where $P_{hours}(x)$ is how many misfolded proteins are present after hours.

What is the function for $P_{days}(t)$ ?

Possible Answers:

$P_{days}(t)=12(167216)^t$

$P_{days}(t)=1216777216^t$

$P_{days}(t)=12(16777216)^t$

$P_{days}(t)=12(16216)^t$

$P_{days}(t)=12(1677216)^t$

Correct answer:

$P_{days}(t)=12(16777216)^t$

Explanation:

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

This particular question is asking for the function when is in terms of days as opposed to the given function which has in hours.

Step 2: Identify the conversion factor.

The conversion factor will be from hours to days.

$1\textup{ day}=24\textup{\ hours}$

So if

$x=\textup{hour}$

then

$1\textup{ day}=24x$

Step 3: Manipulate the original function to get new function.

Given the original function:

$P_{hours}(x)=12(2^x)$

Let represent time in days

$P_{days}(t)=P_{days}(24x)$

$\\P_{hours}(24x)=12(2^{24})^x \\P_{hours}(24x)=12(16777216)^x \\P_{days}(t)=12(16777216)^t$

Report an Error

Example Question #3 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

$P_{hours}(x)=9(2^x)$

where $P_{hours}(x)$ is how many misfolded proteins are present after hours.

What is the function for $P_{minutes}(t)$ ?

Possible Answers:

$P_{minutes}(t)=9(101.2)^t$

$P_{minutes}(t)=9(10.12)^t$

$P_{minutes}(t)=9(1.012)^t$

$P_{minutes}(t)=9.012^t$

$P_{minutes}(t)=9(1012)^t$

Correct answer:

$P_{minutes}(t)=9(1.012)^t$

Explanation:

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

This particular question is asking for the function when is in terms of minutes as opposed to the given function which has in hours.

Step 2: Identify the conversion factor.

The conversion factor will be from hours to days.

$1\textup{ hour}=60\textup{\ minutes}$

So if

$x=\textup{hour}$

then

$1\textup{ minute}=\frac{x}{60}$

Step 3: Manipulate the original function to get new function.

Given the original function:

$P_{hours}(x)=9(2^x)$

Let represent time in minutes

$P_{minutes}(t)=P_{minutes}\left(\frac{x}{60} \right )$

$\\P_{minutes}\left(\frac{x}{60} \right )=9(2^{\frac{1}{60}})^x \\\\P_{minutes}\left(\frac{x}{60} \right )=9(1.012)^x \\P_{minutes}(t)=9(1.012)^t$

Report an Error

Example Question #7 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

$P_{hours}(x)=4(2^x)$

where $P_{hours}(x)$ is how many misfolded proteins are present after hours.

What is the function for $P_{days}(t)$ ?

Possible Answers:

$P_{days}(t)=4(16777216)^t$

$P_{days}(t)=4(177216)^t$

$P_{days}(t)=4(17777216)^t$

$P_{days}(t)=416777216^t$

$P_{days}(t)=4(16777)^t$

Correct answer:

$P_{days}(t)=4(16777216)^t$

Explanation:

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

This particular question is asking for the function when is in terms of days as opposed to the given function which has in hours.

Step 2: Identify the conversion factor.

The conversion factor will be from hours to days.

$1\textup{ day}=24\textup{\ hours}$

So if

$x=\textup{hour}$

then

$1\textup{ day}=24x$

Step 3: Manipulate the original function to get new function.

Given the original function:

$P_{hours}(x)=4(2^x)$

Let represent time in days

$P_{days}(t)=P_{days}(24x)$

$\\P_{hours}(24x)=4(2^{24})^x \\P_{hours}(24x)=4(16777216)^x \\P_{days}(t)=4(16777216)^t$

Report an Error

Example Question #8 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

$P_{hours}(x)=14(2^x)$

where $P_{hours}(x)$ is how many misfolded proteins are present after hours.

What is the function for $P_{minutes}(t)$ ?

Possible Answers:

$P_{minutes}(t)=14(1012)^t$

$P_{minutes}(t)=14.012^t$

$P_{minutes}(t)=14(101.2)^t$

$P_{minutes}(t)=14(10.12)^t$

$P_{minutes}(t)=14(1.012)^t$

Correct answer:

$P_{minutes}(t)=14(1.012)^t$

Explanation:

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

This particular question is asking for the function when is in terms of minutes as opposed to the given function which has in hours.

Step 2: Identify the conversion factor.

The conversion factor will be from hours to days.

$1\textup{ hour}=60\textup{\ minutes}$

So if

$x=\textup{hour}$

then

$1\textup{ minute}=\frac{x}{60}$

Step 3: Manipulate the original function to get new function.

Given the original function:

$P_{hours}(x)=14(2^x)$

Let represent time in minutes

$P_{minutes}(t)=P_{minutes}\left(\frac{x}{60} \right )$

$\\P_{minutes}\left(\frac{x}{60} \right )=14(2^{\frac{1}{60}})^x \\\\P_{minutes}\left(\frac{x}{60} \right )=14(1.012)^x \\P_{minutes}(t)=14(1.012)^t$

Report an Error

Example Question #9 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

$P_{hours}(x)=68(2^x)$

where $P_{hours}(x)$ is how many misfolded proteins are present after hours.

What is the function for $P_{minutes}(t)$ ?

Possible Answers:

$P_{minutes}(t)=68(1.012)^t$

$P_{minutes}(t)=68(10.12)^t$

$P_{minutes}(t)=68.012^t$

$P_{minutes}(t)=68(101.2)^t$

$P_{minutes}(t)=68.076^t$

Correct answer:

$P_{minutes}(t)=68(1.012)^t$

Explanation:

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

This particular question is asking for the function when is in terms of minutes as opposed to the given function which has in hours.

Step 2: Identify the conversion factor.

The conversion factor will be from hours to days.

$1\textup{ hour}=60\textup{\ minutes}$

So if

$x=\textup{hour}$

then

$1\textup{ minute}=\frac{x}{60}$

Step 3: Manipulate the original function to get new function.

Given the original function:

$P_{hours}(x)=68(2^x)$

Let represent time in minutes

$P_{minutes}(t)=P_{minutes}\left(\frac{x}{60} \right )$

$\\P_{minutes}\left(\frac{x}{60} \right )=68(2^{\frac{1}{60}})^x \\\\P_{minutes}\left(\frac{x}{60} \right )=68(1.012)^x \\P_{minutes}(t)=68(1.012)^t$

Report an Error

Example Question #7 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

Certain diseases, such as bovine spongiform encephalopathy (mad cow disease), are caused by prions - misfolded proteins. These prions are irreversibly misfolded and cause subsequent misfolding of healthy proteins when they come into contact with them. Joe ate the meat of a cow with BSE, ingesting 168 prions, and each prion caused the misfolding of a new protein every number of hours, is illustrated by the following function.

$P_{hours}(x)=168(2^x)$

where $P_{hours}(x)$ is how many misfolded proteins are present after hours.

What is the function for $P_{minutes}(t)$ ?

Possible Answers:

$P_{minutes}(t)=168.012^t$

$P_{minutes}(t)=168(2.02)^t$

$P_{minutes}(t)=160(2.012)^t$

$P_{minutes}(t)=168(2.012)^t$

$P_{minutes}(t)=168(1.012)^t$

Correct answer:

$P_{minutes}(t)=168(1.012)^t$

Explanation:

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

This particular question is asking for the function when is in terms of minutes as opposed to the given function which has in hours.

Step 2: Identify the conversion factor.

The conversion factor will be from hours to days.

$1\textup{ hour}=60\textup{\ minutes}$

So if

$x=\textup{hour}$

then

$1\textup{ minute}=\frac{x}{60}$

Step 3: Manipulate the original function to get new function.

Given the original function:

$P_{hours}(x)=168(2^x)$

Let represent time in minutes

$P_{minutes}(t)=P_{minutes}\left(\frac{x}{60} \right )$

$\\P_{minutes}\left(\frac{x}{60} \right )=168(2^{\frac{1}{60}})^x \\\\P_{minutes}\left(\frac{x}{60} \right )=168(1.012)^x \\P_{minutes}(t)=168(1.012)^t$

Report an Error

Example Question #11 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

$P_{hours}(x)=20(2^x)$

where $P_{hours}(x)$ is how many misfolded proteins are present after hours.

What is the function for $P_{days}(t)$ ?

Possible Answers:

$P_{days}(t)=20(16.777216)^t$

$P_{days}(t)=2016777216^t$

$P_{days}(t)=20(1677216)^t$

$P_{days}(t)=20(16216)^t$

$P_{days}(t)=20(16777216)^t$

Correct answer:

$P_{days}(t)=20(16777216)^t$

Explanation:

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

This particular question is asking for the function when is in terms of days as opposed to the given function which has in hours.

Step 2: Identify the conversion factor.

The conversion factor will be from hours to days.

$1\textup{ day}=24\textup{\ hours}$

So if

$x=\textup{hour}$

then

$1\textup{ day}=24x$

Step 3: Manipulate the original function to get new function.

Given the original function:

$P_{hours}(x)=20(2^x)$

Let represent time in days

$P_{days}(t)=P_{days}(24x)$

$\\P_{hours}(24x)=20(2^{24})^x \\P_{hours}(24x)=20(16777216)^x \\P_{days}(t)=20(16777216)^t$

Report an Error

Example Question #12 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

Certain diseases, such as bovine spongiform encephalopathy (mad cow disease), are caused by prions - misfolded proteins. These prions are irreversibly misfolded and cause subsequent misfolding of healthy proteins when they come into contact with them. Joe ate the meat of a cow with BSE, ingesting 100 prions, and each prion caused the misfolding of a new protein every number of hours, is illustrated by the following function.

$P_{hours}(x)=100(2^x)$

where $P_{hours}(x)$ is how many misfolded proteins are present after hours.

What is the function for $P_{days}(t)$ ?

Possible Answers:

$P_{days}(t)=10016777216^t$

$P_{days}(t)=100(16777216)^t$

$P_{days}(t)=100(16216)^t$

$P_{days}(t)=100(16.777216)^t$

$P_{days}(t)=100(162.16)^t$

Correct answer:

$P_{days}(t)=100(16777216)^t$

Explanation:

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

This particular question is asking for the function when is in terms of days as opposed to the given function which has in hours.

Step 2: Identify the conversion factor.

The conversion factor will be from hours to days.

$1\textup{ day}=24\textup{\ hours}$

So if

$x=\textup{hour}$

then

$1\textup{ day}=24x$

Step 3: Manipulate the original function to get new function.

Given the original function:

$P_{hours}(x)=100(2^x)$

Let represent time in days

$P_{days}(t)=P_{days}(24x)$

$\\P_{hours}(24x)=100(2^{24})^x \\P_{hours}(24x)=100(16777216)^x \\P_{days}(t)=100(16777216)^t$

Report an Error

View Tutors

Erica
Certified Tutor

Central Washington University, Bachelor of Science, Psychology. Johns Hopkins University, Masters in Education, Education.

View Tutors

Tiffany
Certified Tutor

American InterContinental University-Online, Bachelor of Science, Health Aide.

View Tutors

Arturo
Certified Tutor

Instituto Tecnológico Autonómo de México, Bachelor in Business Administration, Business Administration and Management.

All Common Core: High School - Functions Resources

6 Diagnostic Tests 82 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Biology Tutors in Washington DC, French Tutors in Denver, Statistics Tutors in San Diego, SSAT Tutors in Phoenix, SAT Tutors in Seattle, Reading Tutors in Dallas Fort Worth, MCAT Tutors in Chicago, LSAT Tutors in Phoenix, Physics Tutors in Washington DC, Computer Science Tutors in Phoenix

Popular Courses & Classes

SAT Courses & Classes in Atlanta, GMAT Courses & Classes in Seattle, ACT Courses & Classes in Washington DC, LSAT Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Chicago, SAT Courses & Classes in San Diego, MCAT Courses & Classes in Los Angeles, ACT Courses & Classes in Chicago, MCAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Dallas Fort Worth

Popular Test Prep

GRE Test Prep in Washington DC, GRE Test Prep in Miami, ISEE Test Prep in Dallas Fort Worth, LSAT Test Prep in Seattle, GRE Test Prep in Houston, GRE Test Prep in Boston, GMAT Test Prep in San Diego, LSAT Test Prep in San Diego, ACT Test Prep in Seattle, LSAT Test Prep in Washington DC

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Common Core: High School - Functions : High School: Functions

Study concepts, example questions & explanations for Common Core: High School - Functions

All Common Core: High School - Functions Resources

Example Questions

Example Question #1 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

Example Question #1 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

Example Question #1 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

Example Question #3 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

Example Question #7 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

Example Question #8 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

Example Question #9 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

Example Question #7 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

Example Question #11 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

Example Question #12 : Constant Rate Of Change: Ccss.Math.Content.Hsf Le.A.1b

All Common Core: High School - Functions Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: