Interpret Function Parameters: CCSS.Math.Content.HSF-LE.B.5 - Common Core: High School

Example Questions

← Previous 1 2 Next →

Example Question #1 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

A school's theater department spends $\$500$ to produce a certain play. If the play sells tickets for $\$10$ each what is the function P(t)

that represents the net profit of the play?

Possible Answers:

$P(t)=-\$10t+\$500$

$P(t)=\$10t-\$500$

$P(t)=-\$10t-\$500$

$P(t)=\$10-\$500t$

$P(t)=\$10t+\$500$

Correct answer:

$P(t)=\$10t-\$500$

Explanation:

This question tests one's ability to recognize parameters of a function and one's understanding of dealing with said parameters in the context of a problem.

For the purpose of Common Core Standards, interpret parameters in a linear or exponential function in terms of a context, falls within the Cluster B of interpret expressions for functions in terms of the situation they model concept (CCSS.Math.content.HSF.LE.B).

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 the general function that describes the situation.

$\textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs}$

Recall that the ticket sales profit is the product of the price of the ticket and the number of tickets sold.

Step 2: Identify the known values.

$\\ \textup{Cost of Ticket}=\$10 \\ \textup{Production Costs}=\$500 \\ t=\textup{number of tickets sold} \\P(t)=\textup{Net Profit}$

Step 3: Substitute known values into general function to create P(t) .

$\\ \textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs} \\P(t)=\$10t-\$500$

Example Question #2 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

A school's theater department spends $\$550$ to produce a certain play. If the play sells tickets for $\$8$ each what is the function P(t) that represents the net profit of the play?

Possible Answers:

$P(t)=\$8t-\$550$

$P(t)=\$550t-\$8$

$P(t)=\$8t-\$500$

$P(t)=\$500t-\$8$

$P(t)=\$10t-\$550$

Correct answer:

$P(t)=\$8t-\$550$

Explanation:

This question tests one's ability to recognize parameters of a function and one's understanding of dealing with said parameters in the context of a problem.

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 the general function that describes the situation.

$\textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs}$

Recall that the ticket sales profit is the product of the price of the ticket and the number of tickets sold.

Step 2: Identify the known values.

$\\ \textup{Cost of Ticket}=\$8 \\ \textup{Production Costs}=\$550 \\ t=\textup{number of tickets sold} \\P(t)=\textup{Net Profit}$

Step 3: Substitute known values into general function to create P(t) .

$\\ \textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs} \\P(t)=\$8t-\$550$

Example Question #3 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

A school's art department spends $\$100$ on art supplies. If the department sells each art piece for $\$2$ each what is the function A(t) that represents the net profit of the art department?

Possible Answers:

$A(t)=\$2t+\$10$

$A(t)=\$2t-\$10$

$A(t)=\$2t-\$100$

$A(t)=\$2t+\$100$

$A(t)=\$1t-\$100$

Correct answer:

$A(t)=\$2t-\$100$

Explanation:

This question tests one's ability to recognize parameters of a function and one's understanding of dealing with said parameters in the context of a problem.

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 the general function that describes the situation.

$\textup{Net Profit}=\textup{Art Sales Profit}-\textup{Art Supply Costs}$

Recall that the art sales profit is the product of the price of the art piece and the number of pieces sold.

Step 2: Identify the known values.

$\\ \textup{Cost of an art piece}=\$2 \\ \textup{Art Supply Costs}=\$100 \\ t=\textup{number of art pieces sold} \\A(t)=\textup{Net Profit}$

Step 3: Substitute known values into general function to create A(t) .

$\\ \textup{Net Profit}=\textup{Art Sales Profit}-\textup{Art Supply Costs} \\A(t)=\$2t-\$100$

Example Question #4 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

A school's art department spends $\$325$ on art supplies. If the department sells each art piece for $\$10$ each what is the function A(t) that represents the net profit of the art department?

Possible Answers:

$A(t)=\$10t-\$325$

$A(t)=\$325t+\$10$

$A(t)=\$10t-\$350$

$A(t)=\$325t-\$10$

$A(t)=\$10t+\$325$

Correct answer:

$A(t)=\$10t-\$325$

Explanation:

This question tests one's ability to recognize parameters of a function and one's understanding of dealing with said parameters in the context of a problem.

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 the general function that describes the situation.

$\textup{Net Profit}=\textup{Art Sales Profit}-\textup{Art Supply Costs}$

Recall that the art sales profit is the product of the price of the art piece and the number of pieces sold.

Step 2: Identify the known values.

$\\ \textup{Cost of an art piece}=\$10 \\ \textup{Art Supply Costs}=\$325 \\ t=\textup{number of art pieces sold} \\A(t)=\textup{Net Profit}$

Step 3: Substitute known values into general function to create A(t) .

$\\ \textup{Net Profit}=\textup{Art Sales Profit}-\textup{Art Supply Costs} \\A(t)=\$10t-\$325$

Example Question #5 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

A school's theater department spends $\$160$ to produce a certain play. If the play sells tickets for $\$4$ each what is the function P(t) that represents the net profit of the play?

Possible Answers:

$P(t)=\$4t-\$160$

$P(t)=\$4t+\$160$

$P(t)=\$4-\$160$

$P(t)=\$160t+\$4$

$P(t)=\$160t-\$4$

Correct answer:

$P(t)=\$4t-\$160$

Explanation:

This question tests one's ability to recognize parameters of a function and one's understanding of dealing with said parameters in the context of a problem.

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 the general function that describes the situation.

$\textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs}$

Recall that the ticket sales profit is the product of the price of the ticket and the number of tickets sold.

Step 2: Identify the known values.

$\\ \textup{Cost of Ticket}=\$4 \\ \textup{Production Costs}=\$160 \\ t=\textup{number of tickets sold} \\P(t)=\textup{Net Profit}$

Step 3: Substitute known values into general function to create P(t) .

$\\ \textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs} \\P(t)=\$4t-\$160$

Example Question #6 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

A school's theater department spends $\$240$ to produce a certain play. If the play sells tickets for $\$12$ each what is the function P(t) that represents the net profit of the play?

Possible Answers:

$P(t)=\$12t-\$240$

$P(t)=\$240t+\$12$

$P(t)=\$240t-\$12$

$P(t)=\$240-\$12$

$P(t)=\$12t+\$240$

Correct answer:

$P(t)=\$12t-\$240$

Explanation:

This question tests one's ability to recognize parameters of a function and one's understanding of dealing with said parameters in the context of a problem.

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 the general function that describes the situation.

$\textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs}$

Recall that the ticket sales profit is the product of the price of the ticket and the number of tickets sold.

Step 2: Identify the known values.

$\\ \textup{Cost of Ticket}=\$12 \\ \textup{Production Costs}=\$240 \\ t=\textup{number of tickets sold} \\P(t)=\textup{Net Profit}$

Step 3: Substitute known values into general function to create P(t) .

$\\ \textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs} \\P(t)=\$12t-\$240$

Example Question #7 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

A school's art department spends $\$300$ on art supplies. If the department sells each art piece for $\$5$ each what is the function A(t) that represents the net profit of the art department?

Possible Answers:

$A(t)=\$300-\$5$

$A(t)=\$5t-\$300$

$A(t)=\$5t+\$300$

$A(t)=\$300t-\$5$

$A(t)=\$300t+\$5$

Correct answer:

$A(t)=\$5t-\$300$

Explanation:

This question tests one's ability to recognize parameters of a function and one's understanding of dealing with said parameters in the context of a problem.

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 the general function that describes the situation.

$\textup{Net Profit}=\textup{Art Sales Profit}-\textup{Art Supply Costs}$

Recall that the art sales profit is the product of the price of the art piece and the number of pieces sold.

Step 2: Identify the known values.

$\\ \textup{Cost of an art piece}=\$5 \\ \textup{Art Supply Costs}=\$300 \\ t=\textup{number of art pieces sold} \\A(t)=\textup{Net Profit}$

Step 3: Substitute known values into general function to create A(t) .

$\\ \textup{Net Profit}=\textup{Art Sales Profit}-\textup{Art Supply Costs} \\A(t)=\$5t-\$300$

Example Question #8 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

A school's theater department spends $\$750$ to produce a certain play. If the play sells tickets for $\$15$ each what is the function P(t) that represents the net profit of the play?

Possible Answers:

$P(t)=\$750t-\$15$

$P(t)=\$15t-\$750$

$P(t)=\$750-\$15$

$P(t)=\$750t+\$15$

$P(t)=\$15t+\$750$

Correct answer:

$P(t)=\$15t-\$750$

Explanation:

This question tests one's ability to recognize parameters of a function and one's understanding of dealing with said parameters in the context of a problem.

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 the general function that describes the situation.

$\textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs}$

Recall that the ticket sales profit is the product of the price of the ticket and the number of tickets sold.

Step 2: Identify the known values.

$\\ \textup{Cost of Ticket}=\$15 \\ \textup{Production Costs}=\$750 \\ t=\textup{number of tickets sold} \\P(t)=\textup{Net Profit}$

Step 3: Substitute known values into general function to create P(t) .

$\\ \textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs} \\P(t)=\$15t-\$750$

Example Question #9 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

A school's theater department spends $\$190$ to produce a certain play. If the play sells tickets for $\$8.50$ each what is the function P(t) that represents the net profit of the play?

Possible Answers:

$P(t)=\$8.50t-\$190$

$P(t)=\$8.50t+\$190$

$P(t)=\$8.50-\$190t$

$P(t)=\$8.50+\$190t$

$P(t)=\$8.50-\$190$

Correct answer:

$P(t)=\$8.50t-\$190$

Explanation:

This question tests one's ability to recognize parameters of a function and one's understanding of dealing with said parameters in the context of a problem.

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 the general function that describes the situation.

$\textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs}$

Recall that the ticket sales profit is the product of the price of the ticket and the number of tickets sold.

Step 2: Identify the known values.

$\\ \textup{Cost of Ticket}=\$8.50 \\ \textup{Production Costs}=\$190 \\ t=\textup{number of tickets sold} \\P(t)=\textup{Net Profit}$

Step 3: Substitute known values into general function to create P(t) .

$\\ \textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs} \\P(t)=\$8.50t-\$190$

Example Question #10 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

A school's art department spends $\$380$ on art supplies. If the department sells each art piece for $\$11$ each what is the function A(t) that represents the net profit of the art department?

Possible Answers:

$A(t)=\$11-\$380$

$A(t)=\$11+\$380t$

$A(t)=\$11t-\$380$

$A(t)=\$11t+\$380$

$A(t)=\$11-\$380t$

Correct answer:

$A(t)=\$11t-\$380$

Explanation:

This question tests one's ability to recognize parameters of a function and one's understanding of dealing with said parameters in the context of a problem.

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 the general function that describes the situation.

$\textup{Net Profit}=\textup{Art Sales Profit}-\textup{Art Supply Costs}$

Recall that the art sales profit is the product of the price of the art piece and the number of pieces sold.

Step 2: Identify the known values.

$\\ \textup{Cost of an art piece}=\$11 \\ \textup{Art Supply Costs}=\$380 \\ t=\textup{number of art pieces sold} \\A(t)=\textup{Net Profit}$

Step 3: Substitute known values into general function to create A(t) .

$\\ \textup{Net Profit}=\textup{Art Sales Profit}-\textup{Art Supply Costs} \\A(t)=\$11t-\$380$

← Previous 1 2 Next →

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 : Interpret Function Parameters: CCSS.Math.Content.HSF-LE.B.5

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

All Common Core: High School - Functions Resources

Example Questions

Example Question #1 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

Example Question #2 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

Example Question #3 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

Example Question #4 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

Example Question #5 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

Example Question #6 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

Example Question #7 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

Example Question #8 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

Example Question #9 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

Example Question #10 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

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: