Question 1

The table can be modeled by , where t represents the number of days since Monday.

Accepted Answer

A) True 
 B)False  True

Question 2

Data from local gas stations have revealed that gas prices decreased exponentially each week in late 2008. However, there is debate over which model accurately describes the falling gas prices. Jim believes that the correct model for gas prices after x weeks is   , while April believes the model should be   . What comparisons can be made about the two different models?

Accepted Answer

A)  The gas prices decreased at a rate of 76% every week as opposed to 94% every week. 
B)  The gas prices decreased at a rate of 24% every week as opposed to 6% every week. 
C)  The price of the gas is $0.18 less than it was before. 
D)  The initial gas price decreased. 
E)  After x weeks, the gas price is 0.76 times as much as the initial gas price instead of 0.94 times as much. 
A)  The gas prices decreased at a rate of 76% every week as opposed to 94% every week. 
B)  The gas prices decreased at a rate of 24% every week as opposed to 6% every week. 
C)  The price of the gas is $0.18 less than it was before. 
D)  The initial gas price decreased. 
E)  After x weeks, the gas price is 0.76 times as much as the initial gas price instead of 0.94 times as much. B

Question 3

What is the range of the exponential function f graphed below?

Accepted Answer

A)  All real numbers 
B)    
C)  Not enough information 
D)    
E)  All positive real numbers 
A)  All real numbers 
B)    
C)  Not enough information 
D)    
E)  All positive real numbers D

Question 4

Morphine is administered to a patient intravenously with an initial amount of 11 mg. About 36.9% of the morphine in a patient's body is metabolized and leaves the body each hour. Which one of the following models the amount of morphine remaining in the body after t hours?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 5

Morphine is administered to a patient intravenously with an initial amount of 13 mg. About 32.8% of the morphine in a patient's body is metabolized and leaves the body each hour. What is the 4-hour decay factor for the amount of morphine remaining in the body (rounded to the nearest thousandth)?

Accepted Answer

A)  2.651 
B)  0.012 
C)  8.736 
D)  0.204 
E)  0.150 
A)  2.651 
B)  0.012 
C)  8.736 
D)  0.204 
E)  0.150

Question 6

Using the following table of a function that models exponential decay, determine the initial value (rounded to the nearest integer).

Accepted Answer

A)  880 
B)  668 
C)  508 
D)  293 
E)  Not enough information 
A)  880 
B)  668 
C)  508 
D)  293 
E)  Not enough information

Question 7

After college graduation, Sheena was offered two different jobs. The first offer included a salary of $38,200 plus a guaranteed raise of $1900 per year. The second offer included a salary of $31,400 plus a guaranteed raise of 3% per year. 
 What is the average rate of change for the function defined by the first job offer for year 3 to year 5?

Accepted Answer

The answer of After college graduation, Sheena was offered two...

Question 8

The function   is a model for a population A, where t is measured in years. The function   is a model for a population B, where t is measured in years. What is the carrying capacity for the logistic function?

Accepted Answer

A)  5000 
B)  200 
C)  3 
D)  24 
E)  1 
A)  5000 
B)  200 
C)  3 
D)  24 
E)  1

Question 9

The graph of a function that models exponential decay is shown. What is the one-year decay factor?

Accepted Answer

A)  1.3 
B)  0.2 
C)  0.8 
D)  1440 
E)  0.6 
A)  1.3 
B)  0.2 
C)  0.8 
D)  1440 
E)  0.6

Question 10

Justin wishes to invest $7000 in a 3-year CD with an interest rate of 6.2% each year and compounded daily. What is the annual percentage yield for Justin's CD (rounded to the nearest hundredth)?

Accepted Answer

A)  6.40% 
B)  6.20% 
C)  20.44% 
D)  1.06% 
E)  0.02% 
A)  6.40% 
B)  6.20% 
C)  20.44% 
D)  1.06% 
E)  0.02%

Question 11

The half-life of Iodine-135 is 8 days. A 121-gram sample of Iodine-135 is monitored for one month. Assuming there are 30 days in the month, how many grams of Iodine-135 are left after 1 month (rounded to the nearest hundredths)?

Accepted Answer

A)  0.47 
B)  8.99 
C)  110.96 
D)  60.50 
E)  100.58 
A)  0.47 
B)  8.99 
C)  110.96 
D)  60.50 
E)  100.58

Question 12

Jessica invested $10700 into an account with an interest rate of 4.7% per year, compounded quarterly. How much money will be in the account after 1 month (rounded to the nearest hundredth)?

Accepted Answer

A)  $11,202.90 
B)  $10,825.73 
C)  $12,857.91 
D)  $11,211.83 
E)  $239,453.30 
A)  $11,202.90 
B)  $10,825.73 
C)  $12,857.91 
D)  $11,211.83 
E)  $239,453.30

Question 13

Using the following table of a function that models exponential decay, determine the initial value (rounded to the nearest integer).

Accepted Answer

A)  36.78 
B)  5,086.88 
C)  1,483.33 
D)  801.00 
E)  17,444.71 
A)  36.78 
B)  5,086.88 
C)  1,483.33 
D)  801.00 
E)  17,444.71

Question 14

The horizontal asymptote of the graph is   .

Accepted Answer

A) True 
 B)False

Question 15

What is the domain of the exponential function f graphed below?

Accepted Answer

A)    
B)  All positive real numbers 
C)  Not enough information 
D)    
E)  All real numbers 
A)    
B)  All positive real numbers 
C)  Not enough information 
D)    
E)  All real numbers

Question 16

The function   is a model for a population A, where t is measured in years. The function   is a model for a population B, where t is measured in years. True or false? 
-The initial population of f(t) is equal to the initial population of g(t) .

Accepted Answer

A) True 
 B)False

Question 17

The function   is a model for the number of cars allowed in a parking lot during a special event, where t is measured in hours. What is the carrying capacity for the function f ?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  400 
E)  Not enough information 
A)  1 
B)  2 
C)  3 
D)  400 
E)  Not enough information

Question 18

The model   describes the amount of a radioactive substance (in grams) remaining after t hours. Which one of the following written statements best describes this population?

Accepted Answer

A)  The amount of radioactive substance decreases by 24% each hour. 
B)  The amount of radioactive substance increases by 76% each hour. 
C)  The amount of radioactive substance decreases by 0.76 each hour. 
D)  The amount of radioactive substance increases by 24% each hour. 
E)  The amount of radioactive substance decreases by 76% each hour. 
A)  The amount of radioactive substance decreases by 24% each hour. 
B)  The amount of radioactive substance increases by 76% each hour. 
C)  The amount of radioactive substance decreases by 0.76 each hour. 
D)  The amount of radioactive substance increases by 24% each hour. 
E)  The amount of radioactive substance decreases by 76% each hour.

Question 19

Morphine is administered to a patient intravenously with an initial amount of 15 mg. About 33.1% of the morphine in a patient's body is metabolized and leaves the body each hour. How much morphine will be left after 2.6 hours (rounded to the nearest hundredth)?

Accepted Answer

A)  0.35 
B)  0.85 
C)  5.27 
D)  0.67 
E)  10.04 
A)  0.35 
B)  0.85 
C)  5.27 
D)  0.67 
E)  10.04

Question 20

Using the following table, find the percentage rate of change in f from 0 to 1.

Accepted Answer

A)  600% 
B)  126% 
C)  21% 
D)  121% 
E)  82.6% 
A)  600% 
B)  126% 
C)  21% 
D)  121% 
E)  82.6%

The table can be modeled by , where t represents the number of days since Monday.

What is the range of the exponential function f graphed below?

Morphine is administered to a patient intravenously with an initial amount of 11 mg. About 36.9% of the morphine in a patient's body is metabolized and leaves the body each hour. Which one of the following models the amount of morphine remaining in the body after t hours?

Morphine is administered to a patient intravenously with an initial amount of 13 mg. About 32.8% of the morphine in a patient's body is metabolized and leaves the body each hour. What is the 4-hour decay factor for the amount of morphine remaining in the body (rounded to the nearest thousandth)?

Using the following table of a function that models exponential decay, determine the initial value (rounded to the nearest integer).

The function is a model for a population A, where t is measured in years. The function is a model for a population B, where t is measured in years. What is the carrying capacity for the logistic function?

The graph of a function that models exponential decay is shown. What is the one-year decay factor?

Justin wishes to invest $7000 in a 3-year CD with an interest rate of 6.2% each year and compounded daily. What is the annual percentage yield for Justin's CD (rounded to the nearest hundredth)?

The half-life of Iodine-135 is 8 days. A 121-gram sample of Iodine-135 is monitored for one month. Assuming there are 30 days in the month, how many grams of Iodine-135 are left after 1 month (rounded to the nearest hundredths)?

Jessica invested $10700 into an account with an interest rate of 4.7% per year, compounded quarterly. How much money will be in the account after 1 month (rounded to the nearest hundredth)?

Using the following table of a function that models exponential decay, determine the initial value (rounded to the nearest integer).

The horizontal asymptote of the graph is .

What is the domain of the exponential function f graphed below?

The function is a model for a population A, where t is measured in years. The function is a model for a population B, where t is measured in years. True or false? -The initial population of f(t) is equal to the initial population of g(t) .

The function is a model for the number of cars allowed in a parking lot during a special event, where t is measured in hours. What is the carrying capacity for the function f ?

The model describes the amount of a radioactive substance (in grams) remaining after t hours. Which one of the following written statements best describes this population?

Morphine is administered to a patient intravenously with an initial amount of 15 mg. About 33.1% of the morphine in a patient's body is metabolized and leaves the body each hour. How much morphine will be left after 2.6 hours (rounded to the nearest hundredth)?

Using the following table, find the percentage rate of change in f from 0 to 1.

Data, Functions, and Models

Linear Functions and Models

Logarithmic Functions and Exponential Modela

Quadratic Functions and Models

Power, Polynomial, and Rational Functions

Systems of Equations and Data in Categories

Filters

Exam 3: Exponential Functions and Models

The table can be modeled by , where t represents the number of days since Monday.

What is the range of the exponential function f graphed below?

Morphine is administered to a patient intravenously with an initial amount of 11 mg. About 36.9% of the morphine in a patient's body is metabolized and leaves the body each hour. Which one of the following models the amount of morphine remaining in the body after t hours?

Morphine is administered to a patient intravenously with an initial amount of 13 mg. About 32.8% of the morphine in a patient's body is metabolized and leaves the body each hour. What is the 4-hour decay factor for the amount of morphine remaining in the body (rounded to the nearest thousandth)?

Using the following table of a function that models exponential decay, determine the initial value (rounded to the nearest integer).

The function is a model for a population A, where t is measured in years. The function is a model for a population B, where t is measured in years. What is the carrying capacity for the logistic function?

The graph of a function that models exponential decay is shown. What is the one-year decay factor?

Justin wishes to invest $7000 in a 3-year CD with an interest rate of 6.2% each year and compounded daily. What is the annual percentage yield for Justin's CD (rounded to the nearest hundredth)?

The half-life of Iodine-135 is 8 days. A 121-gram sample of Iodine-135 is monitored for one month. Assuming there are 30 days in the month, how many grams of Iodine-135 are left after 1 month (rounded to the nearest hundredths)?

Jessica invested $10700 into an account with an interest rate of 4.7% per year, compounded quarterly. How much money will be in the account after 1 month (rounded to the nearest hundredth)?

Using the following table of a function that models exponential decay, determine the initial value (rounded to the nearest integer).

The horizontal asymptote of the graph is .

What is the domain of the exponential function f graphed below?

The function is a model for a population A, where t is measured in years. The function is a model for a population B, where t is measured in years. True or false? -The initial population of f(t) is equal to the initial population of g(t) .

The function is a model for the number of cars allowed in a parking lot during a special event, where t is measured in hours. What is the carrying capacity for the function f ?

The model describes the amount of a radioactive substance (in grams) remaining after t hours. Which one of the following written statements best describes this population?

Morphine is administered to a patient intravenously with an initial amount of 15 mg. About 33.1% of the morphine in a patient's body is metabolized and leaves the body each hour. How much morphine will be left after 2.6 hours (rounded to the nearest hundredth)?

Using the following table, find the percentage rate of change in f from 0 to 1.

Data, Functions, and Models

Linear Functions and Models

Logarithmic Functions and Exponential Modela

Quadratic Functions and Models

Power, Polynomial, and Rational Functions

Systems of Equations and Data in Categories

Filters