Question 1

The decay factor of an exponential function  is 0.74.The initial value is 1.5.Then a formula for P is ​

Accepted Answer

A)  ​  
B)  ​  
C)  ​  
D)

Question 2

The initial value of one exponential function is 40, and the growth factor is 1.05.The initial value of a second exponential function is 90, and the decay factor is 0.95.If  is the independent variable for both functions, for what value of t are the two functions equal? Round your answer to two decimal places. ​

Accepted Answer

A)  ​  
B)   
C)   
D)

Question 3

If there are G grams of a certain radioactive substance present today, then in one year there will be  grams remaining.There are initially 28 grams present.How much remains after 6 years? Round your answer to two decimal places. ​

Accepted Answer

A)  25.94 grams 
B)  23.32 grams 
C)  22.18 grams 
D)  None of the above

Question 4

For a certain substance, we get next week's amount by dividing by 5.That means the amount is showing exponential decay.What is the weekly decay factor? Round your answer to two decimal places. ​

Accepted Answer

A)  0.20 
B)  5.00 
C)  1.19 
D)  None of the above

Question 5

Solve the exponential equation  .Round your answer to two decimal places. ​

Accepted Answer

A)  ​  
B)  ​  
C)   
D)  ​

Question 6

Solve the inequality  .Round your answer to two decimal places. ​

Accepted Answer

A)  ​  
B)   
C)  ​  
D)  ​

Question 7

The population of a certain town is growing exponentially with yearly growth factor 1.03.The initial population is 1,874.What will be the population after 6 years? Round your answer to the nearest whole number. ​

Accepted Answer

A)  2,056 
B)  2,238 
C)  1,868 
D)  None of the above

Question 8

The graph of exponential growth is decreasing.

Accepted Answer

A) True 
 B)False

Question 9

A certain function is an exponential function of time.The weekly growth factor is 1.51.What is the monthly growth factor? (Assume there are four weeks in a month.) Round your answer to two decimal places. ​

Accepted Answer

A)  0.38 
B)  1.11 
C)  5.20 
D)  6.04

Question 10

Next year's value of a certain quantity is obtained by multiplying this year's value of the quantity by 1.71.Which of the following can you conclude? ​

Accepted Answer

A)  The quantity grows exponentially. 
B)  The quantity decays exponentially. 
C)  The quantity grows linearly. 
D)  The quantity decays linearly.

Question 11

The initial value of an exponential function is 16, and the growth factor is 1.02.If t is the independent variable, for what value of t does the function have the value 46? Round your answer to two decimal places. ​

Accepted Answer

A)  ​  
B)  ​  
C)  ​  
D)

Question 12

For a function that shows exponential growth, an increase of 1 unit in the variable causes the function to be multiplied by the growth factor.

Accepted Answer

A) True 
 B)False

Question 13

The formula for an exponential function is  .Then the decay factor is: ​

Accepted Answer

A)  632 
B)  Y 
C)  t 
D)  0.66

Question 14

A population is growing exponentially with a weekly growth factor of 1.03.What is the yearly growth factor? Round your answer to two decimal places. ​

Accepted Answer

A)  0.02 
B)  1.00 
C)  53.56 
D)  4.65

Question 15

The growth factor of an exponential function  is 2.42.The initial value is 3.78.Then a formula for P is ​

Accepted Answer

A)  ​  
B)  ​  
C)  ​  
D)

Question 16

The formula for an exponential function is  .Then the growth factor is: ​

Accepted Answer

A)  127 
B)  2.75 
C)  t 
D)  Y

Question 17

A certain function is an exponential function of time.The monthly growth factor is 1.5.What is the weekly growth factor? (Assume there are four weeks in a month.) Round your answer to two decimal places. ​

Accepted Answer

A)  0.38 
B)  1.11 
C)  5.06 
D)  6.00

Question 18

If there are G grams of a certain radioactive substance present today, then in one year there will be  grams remaining.There are initially 29 grams present.Find a formula that gives the amount G, in grams, remaining after t years. ​

Accepted Answer

A)  ​  
B)   
C)  ​  
D)  ​

Question 19

Solve the inequality  . ​

Accepted Answer

A)  ​  
B)  ​  
C)   
D)  ​

Question 20

A graph showing exponential growth is concave up.

Accepted Answer

A) True 
 B)False

Exam 16: Exponential Growth and Decay

The decay factor of an exponential function is 0.74.The initial value is 1.5.Then a formula for P is ​

If there are G grams of a certain radioactive substance present today, then in one year there will be grams remaining.There are initially 28 grams present.How much remains after 6 years? Round your answer to two decimal places. ​

For a certain substance, we get next week's amount by dividing by 5.That means the amount is showing exponential decay.What is the weekly decay factor? Round your answer to two decimal places. ​

Solve the exponential equation .Round your answer to two decimal places. ​

Solve the inequality .Round your answer to two decimal places. ​

The population of a certain town is growing exponentially with yearly growth factor 1.03.The initial population is 1,874.What will be the population after 6 years? Round your answer to the nearest whole number. ​

The graph of exponential growth is decreasing.

A certain function is an exponential function of time.The weekly growth factor is 1.51.What is the monthly growth factor? (Assume there are four weeks in a month.) Round your answer to two decimal places. ​

Next year's value of a certain quantity is obtained by multiplying this year's value of the quantity by 1.71.Which of the following can you conclude? ​

The initial value of an exponential function is 16, and the growth factor is 1.02.If t is the independent variable, for what value of t does the function have the value 46? Round your answer to two decimal places. ​

For a function that shows exponential growth, an increase of 1 unit in the variable causes the function to be multiplied by the growth factor.

The formula for an exponential function is .Then the decay factor is: ​

A population is growing exponentially with a weekly growth factor of 1.03.What is the yearly growth factor? Round your answer to two decimal places. ​

The growth factor of an exponential function is 2.42.The initial value is 3.78.Then a formula for P is ​

The formula for an exponential function is .Then the growth factor is: ​

A certain function is an exponential function of time.The monthly growth factor is 1.5.What is the weekly growth factor? (Assume there are four weeks in a month.) Round your answer to two decimal places. ​

If there are G grams of a certain radioactive substance present today, then in one year there will be grams remaining.There are initially 29 grams present.Find a formula that gives the amount G, in grams, remaining after t years. ​

Solve the inequality . ​

A graph showing exponential growth is concave up.

The decay factor of an exponential function is 0.74.The initial value is 1.5.Then a formula for P is

If there are G grams of a certain radioactive substance present today, then in one year there will be grams remaining.There are initially 28 grams present.How much remains after 6 years? Round your answer to two decimal places.

For a certain substance, we get next week's amount by dividing by 5.That means the amount is showing exponential decay.What is the weekly decay factor? Round your answer to two decimal places.

Solve the exponential equation .Round your answer to two decimal places.

Solve the inequality .Round your answer to two decimal places.

The population of a certain town is growing exponentially with yearly growth factor 1.03.The initial population is 1,874.What will be the population after 6 years? Round your answer to the nearest whole number.

A certain function is an exponential function of time.The weekly growth factor is 1.51.What is the monthly growth factor? (Assume there are four weeks in a month.) Round your answer to two decimal places.

Next year's value of a certain quantity is obtained by multiplying this year's value of the quantity by 1.71.Which of the following can you conclude?

The initial value of an exponential function is 16, and the growth factor is 1.02.If t is the independent variable, for what value of t does the function have the value 46? Round your answer to two decimal places.

The formula for an exponential function is .Then the decay factor is:

A population is growing exponentially with a weekly growth factor of 1.03.What is the yearly growth factor? Round your answer to two decimal places.

The growth factor of an exponential function is 2.42.The initial value is 3.78.Then a formula for P is

The formula for an exponential function is .Then the growth factor is:

A certain function is an exponential function of time.The monthly growth factor is 1.5.What is the weekly growth factor? (Assume there are four weeks in a month.) Round your answer to two decimal places.

If there are G grams of a certain radioactive substance present today, then in one year there will be grams remaining.There are initially 29 grams present.Find a formula that gives the amount G, in grams, remaining after t years.

Solve the inequality .