Call Now to Set Up Tutoring:

(888) 888-0446

GRE Subject Test: Math : GRE Subject Test: Math

Study concepts, example questions & explanations for GRE Subject Test: Math

Create An Account

All GRE Subject Test: Math Resources

2 Diagnostic Tests 148 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : How To Find Constant Of Proportionality Of Rate

The rate of growth of the bacteria in an agar dish is proportional to the population. The population increased by 150 percent between 1:15 and 2:30. What is the constant of proportionality?

Possible Answers:

0.039

0.012

0.005

0.008

0.102

Correct answer:

0.012

Explanation:

We're told that the rate of growth of the population is proportional to the population itself, meaning that this problem deals with exponential growth/decay. The population can be modeled thusly:

$p(t)=p_0e^{kt}$

Where p_0 is an initial population value, and is the constant of proportionality.

Since the population increased by 150 percent between 1:15 and 2:30, we can solve for this constant of proportionality:

$(1+1.50)y_0=y_0e^{k(2:30 - 1:15)}$

Dealing in minutes:

$2.50=e^{75k}$

75k=ln(2.50)

$k=\frac{ln(2.50)}{75}=0.012$

Report an Error

Example Question #12 : How To Find Constant Of Proportionality Of Rate

The rate of growth of the duck population in Wingfield is proportional to the population. The population increased by 15 percent between 2001 and 2008. What is the constant of proportionality?

Possible Answers:

0.01997

0.31056

0.02961

0.00341

Correct answer:

0.01997

Explanation:

We're told that the rate of growth of the population is proportional to the population itself, meaning that this problem deals with exponential growth/decay. The population can be modeled thusly:

$p(t)=p_0e^{kt}$

Where p_0 is an initial population value, and is the constant of proportionality.

Since the population increased by 15 percent between 2001 and 2008, we can solve for this constant of proportionality:

$(1+.15)y_0=y_0e^{k(2008-2001)}$

$1.15=e^{7k}$

7k=ln(1.15)

$k=\frac{ln(1.15)}{7}=0.01997$

Report an Error

Example Question #13 : How To Find Constant Of Proportionality Of Rate

The rate of decrease of the panda population is proportional to the population. The population decreased by 12 percent between 1990 and 2001. What is the constant of proportionality?

Possible Answers:

-2.526

-0.012

-0.034

-0.191

-0.891

Correct answer:

-0.012

Explanation:

We're told that the rate of growth of the population is proportional to the population itself, meaning that this problem deals with exponential growth/decay. The population can be modeled thusly:

$p(t)=p_0e^{kt}$

Where p_0 is an initial population value, and is the constant of proportionality.

Since the population decreased by 12 percent between 1990 and 2001, we can solve for this constant of proportionality:

$(1-0.12)y_0=y_0e^{k(2001-1990)}$

$0.88=e^{11k}$

11k=ln(0.88)

$k=\frac{ln(0.88)}{11}=-0.012$

Report an Error

Example Question #14 : How To Find Constant Of Proportionality Of Rate

The rate of growth of the salmon population of Yuba is proportional to the population. The population increased by 21 percent over the course of seven years. What is the constant of proportionality?

Possible Answers:

-1.755

0.133

0.289

0.030

0.027

Correct answer:

0.027

Explanation:

We're told that the rate of growth of the population is proportional to the population itself, meaning that this problem deals with exponential growth/decay. The population can be modeled thusly:

$p(t)=p_0e^{kt}$

Where p_0 is an initial population value, and is the constant of proportionality.

Since the population increased by 21 percent over the course of seven years, we can solve for this constant of proportionality:

$(1+0.21)y_0=y_0e^{7k}$

$1.21=e^{7k}$

7k=ln(1.21)

$k=\frac{ln(1.21)}{7}=0.027$

Report an Error

Example Question #11 : Exponential Growth Applications

The rate of decrease of the number of concert attendees to former teen heartthrob Justice Beaver is proportional to the population. The population decreased by 34 percent between 2013 and 2015. What is the constant of proportionality?

Possible Answers:

-0.40

-0.08

0.15

-1.11

-0.21

Correct answer:

-0.21

Explanation:

We're told that the rate of growth of the population is proportional to the population itself, meaning that this problem deals with exponential growth/decay. The population can be modeled thusly:

$p(t)=p_0e^{kt}$

Where p_0 is an initial population value, and is the constant of proportionality.

Since the population decreased by 34 percent between 2013 and 2015, we can solve for this constant of proportionality:

$(1-0.34)y_0=y_0e^{k(2015-2013)}$

$0.66=e^{2k}$

2k=ln(0.66)

$k=\frac{ln(0.66)}{2}=-0.21$

Report an Error

Example Question #16 : How To Find Constant Of Proportionality Of Rate

The rate of growth of the Land of Battlecraft players is proportional to the population. The population increased by 72 percent between February and October of 2015. What is the constant of proportionality?

Possible Answers:

0.093

0.068

0.012

0.118

0.059

Correct answer:

0.068

Explanation:

We're told that the rate of growth of the population is proportional to the population itself, meaning that this problem deals with exponential growth/decay. The population can be modeled thusly:

$p(t)=p_0e^{kt}$

Where p_0 is an initial population value, and is the constant of proportionality.

Since the population increased by 72 percent between February and October, we can solve for this constant of proportionality. It'll help to represent the months by their number in the year:

$(1+0.72)y_0=y_0e^{k(10-2)}$

$1.72=e^{8k}$

8k=ln(1.72)

$k=\frac{ln(1.72)}{8}=0.068$

Report an Error

Example Question #31 : Exponential Functions

The rate of decrease of the gluten-eating demographic of the US is proportional to the population. The population decreased by 8 percent between 2014 and 2015. What is the constant of proportionality?

Possible Answers:

-0.109

-0.194

-0.097

-0.083

-0.177

Correct answer:

-0.083

Explanation:

We're told that the rate of growth of the population is proportional to the population itself, meaning that this problem deals with exponential growth/decay. The population can be modeled thusly:

$p(t)=p_0e^{kt}$

Where p_0 is an initial population value, and is the constant of proportionality.

Since the population decreased by 8 percent between 2014 and 2015, we can solve for this constant of proportionality:

$(1-0.08)y_0=y_0e^{k(2015-2014)}$

$0.92=e^{k}$

k=ln(0.92)

k=-0.083

Report an Error

Example Question #351 : Gre Subject Test: Math

Bob invests $\$10,000$ in a bank that compounds interest continuously at a rate of $12\%$ . How much money will Bob have in his account after years? (Round answer to decimal places.)

Possible Answers:

$\$14,333$

$\$14,000$

$\$15,000$

$\$14,333.29$

Correct answer:

$\$14,333.29$

Explanation:

Step 1: Recall the formula for continuously compounded interest

The formula is: $A=Pe^{rt}$ , where:

is the Final balance after years.

is the original investment balance.

is the exponential function

is the interest rate, usually written as a decimal

is the time, usually in years

Step 2: Plug in all the information that we have into the formula

$r=12\%=0.12$

$A=(\$10,000)e^{0.12(3)}$

Simplify:

$A=(\$10,000)e^{.36}$

Step 3: Evaluate.

$e^{.36}\approx1.433329$

$(\$10,000)(1.433329)=\$14,333.29$

Report an Error

Example Question #1 : Linear Algebra

Perform the following operation.

$\begin{bmatrix} 2& 4& 1\\ 5& 3& -2\\ -3& -1&0 \end{bmatrix}$ $\cdot \begin{bmatrix} 2\\ 4\\ 1 \end{bmatrix}$ $+\begin{bmatrix} -7\\ 4\\ 11 \end{bmatrix}$

Possible Answers:

$\begin{bmatrix} 34\\ -25\\ 7 \end{bmatrix}$

$\begin{bmatrix} 7\\ 20\\ 7 \end{bmatrix}$

$\begin{bmatrix} 14\\ 24 \\ 1 \end{bmatrix}$

$\begin{bmatrix} 14& 24& 1 \end{bmatrix}$

Correct answer:

$\begin{bmatrix} 14\\ 24 \\ 1 \end{bmatrix}$

Explanation:

The first step to solving this operation is to do the multiplication:

$\begin{bmatrix} 2& 4& 1\\ 5& 3& -2\\ -3& -1&0 \end{bmatrix}$ $\cdot \begin{bmatrix} 2\\ 4\\ 1 \end{bmatrix}$ $=\begin{bmatrix} 2(2)& 4(4)& 1(1)\\ 5(2)& 3(4)& -2(1)\\ -3(2)& -1(4)&0(1) \end{bmatrix}$ $=\begin{bmatrix} 4+16+1\\ 10+12-2\\ -6-4+0 \end{bmatrix}$ $=\begin{bmatrix} 21\\ 20\\ -10 \end{bmatrix}$

Once we have multiplied the matrices, we can perform the addition portion:

$\begin{bmatrix} 21\\ 20\\ -10 \end{bmatrix} + \begin{bmatrix} -7\\ 4\\ 11 \end{bmatrix} = \begin{bmatrix} 14\\ 24\\ 1 \end{bmatrix}$

Report an Error

Example Question #2 : Linear Algebra

Perform the following operation.

$3\left(\begin{bmatrix} 7\\ -3\\ 2 \end{bmatrix}+\begin{bmatrix} -1\\ 4\\ 6 \end{bmatrix}\right)$

Possible Answers:

$\begin{bmatrix} 4\\ 9\\ 20 \end{bmatrix}$

$\begin{bmatrix} 18\\ 3\\ 24 \end{bmatrix}$

$\begin{bmatrix} 20\\ -5\\ 12 \end{bmatrix}$

$\begin{bmatrix} 18& 3& 24 \end{bmatrix}$

Correct answer:

$\begin{bmatrix} 18\\ 3\\ 24 \end{bmatrix}$

Explanation:

The first step is to solve whatever is in the parentheses, in this case it is addition:

$\begin{bmatrix} 7\\ -3\\ 2 \end{bmatrix}+\begin{bmatrix} -1\\ 4\\ 6 \end{bmatrix}=\begin{bmatrix} 6\\ 1\\ 8 \end{bmatrix}$

We then substitute our solution into the parentheses:

$3\left(\begin{bmatrix} 6\\ 1\\ 8 \end{bmatrix}\right)$

Our next, and final step in this problem, is to carry out the multiplication:

$3\left(\begin{bmatrix} 6\\ 1\\ 8 \end{bmatrix}\right)=\begin{bmatrix} 18\\ 3\\ 24 \end{bmatrix}$

Report an Error

View Tutors

Magdy
Certified Tutor

Cairo University, Egypt, Bachelor of Science, Electrical Engineering. New Mexico State University-Main Campus, Doctor of Phil...

View Tutors

Ralph
Certified Tutor

Rochester Institute of Technology, Bachelors, Electrical Engineering. Syracuse University, PHD, Computer and Information Scie...

View Tutors

Samarth
Certified Tutor

Maharaja Sayajirao University of Baroda, Bachelor of Engineering, Mechanical Engineering. Concordia University-Seward, Master...

All GRE Subject Test: Math Resources

2 Diagnostic Tests 148 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Biology Tutors in San Diego, Chemistry Tutors in Atlanta, English Tutors in Atlanta, ACT Tutors in Washington DC, English Tutors in New York City, Calculus Tutors in Houston, Biology Tutors in New York City, ISEE Tutors in Atlanta, Computer Science Tutors in Phoenix, GRE Tutors in Dallas Fort Worth

Popular Courses & Classes

ISEE Courses & Classes in Boston, SSAT Courses & Classes in Washington DC, Spanish Courses & Classes in Atlanta, MCAT Courses & Classes in Seattle, ACT Courses & Classes in Boston, MCAT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in New York City, Spanish Courses & Classes in Denver, GMAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in San Francisco-Bay Area

Popular Test Prep

LSAT Test Prep in Dallas Fort Worth, GRE Test Prep in Phoenix, ISEE Test Prep in Denver, GRE Test Prep in Washington DC, GRE Test Prep in Philadelphia, ISEE Test Prep in Chicago, LSAT Test Prep in Seattle, MCAT Test Prep in Philadelphia, GRE Test Prep in Boston, GRE Test Prep in New York City

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

GRE Subject Test: Math : GRE Subject Test: Math

Study concepts, example questions & explanations for GRE Subject Test: Math

All GRE Subject Test: Math Resources

Example Questions

Example Question #11 : How To Find Constant Of Proportionality Of Rate

Example Question #12 : How To Find Constant Of Proportionality Of Rate

Example Question #13 : How To Find Constant Of Proportionality Of Rate

Example Question #14 : How To Find Constant Of Proportionality Of Rate

Example Question #11 : Exponential Growth Applications

Example Question #16 : How To Find Constant Of Proportionality Of Rate

Example Question #31 : Exponential Functions

Example Question #351 : Gre Subject Test: Math

Example Question #1 : Linear Algebra

Example Question #2 : Linear Algebra

All GRE Subject Test: Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: