Question 1

The model   describes the population of Town A. Which one of the following written statements best describes this population?

Accepted Answer

A)  The population of Town A increases by 167% per year. 
B)  The population of Town A increases by 67% per year. 
C)  The population of Town A increases by 67 people per year. 
D)  The initial population of Town A increases by 1.67% per year. 
E)  The population of Town A increases by 167 people per year. 
A)  The population of Town A increases by 167% per year. 
B)  The population of Town A increases by 67% per year. 
C)  The population of Town A increases by 67 people per year. 
D)  The initial population of Town A increases by 1.67% per year. 
E)  The population of Town A increases by 167 people per year.

Question 2

Which one of the following functions is described by the graph?

Accepted Answer

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

Question 3

The value of an investment doubles every 32 months. If the investment starts with $3700, how much money is in the investment after 3 months (rounded to the nearest hundredth)?

Accepted Answer

A)  $3,700.00 
B)  $3,781.02 
C)  $7,400.00 
D)  $3,948.42 
E)  $4,661.71 
A)  $3,700.00 
B)  $3,781.02 
C)  $7,400.00 
D)  $3,948.42 
E)  $4,661.71

Question 4

The model   describes the amount of Cesium-137 remaining after t years. Which one of the following written statements best describes the behavior of Cesium-137?

Accepted Answer

A)  The amount of radioactive substance decreases by half every   years. 
B)  The amount of radioactive substance increases by half every year. 
C)  The amount of radioactive substance increases by half every   years. 
D)  The amount of radioactive substance decreases by half every 79 years. 
E)  The amount of radioactive substance decreases by half every year. 
A)  The amount of radioactive substance decreases by half every   years. 
B)  The amount of radioactive substance increases by half every year. 
C)  The amount of radioactive substance increases by half every   years. 
D)  The amount of radioactive substance decreases by half every 79 years. 
E)  The amount of radioactive substance decreases by half every year.

Question 5

Using the graph below, find the average rate of change from   to   (rounded to the nearest tenth)?

Accepted Answer

A)  185.6 
B)  130.0 
C)  100 
D)  285.6 
E)  46.4 
A)  185.6 
B)  130.0 
C)  100 
D)  285.6 
E)  46.4

Question 6

The revenue of a company is being monitored each month. The initial revenue is $1.3 million. The table illustrates the data gathered over a 6-month time period. 
   
 Using a graphing calculator, find an appropriate curve that models the revenue as a function of the number of months (round to the nearest thousandth).

Accepted Answer

The answer of The revenue of a company is being...

Question 7

The percent rate of change for the increase in bees per day for time 0 to 2 days is 7.46%.

Accepted Answer

A) True 
 B)False

Question 8

Which one of the following scenarios does not describe exponential decay?

Accepted Answer

A)  A radioactive substance decayed by 53 grams every 3 hours. 
B)  A radioactive substance decreases by half every hour. 
C)  A radioactive substance in a certain hour was 81% of the population the previous hour. 
D)  The half-life of a radioactive substance is 10.9 hours. 
E)  A radioactive substance decreases by 11% every hour. 
A)  A radioactive substance decayed by 53 grams every 3 hours. 
B)  A radioactive substance decreases by half every hour. 
C)  A radioactive substance in a certain hour was 81% of the population the previous hour. 
D)  The half-life of a radioactive substance is 10.9 hours. 
E)  A radioactive substance decreases by 11% every hour.

Question 9

The average rate of change for the increase in bees per day for time 0 to 2 days is 4.02.

Accepted Answer

A) True 
 B)False

Question 10

Using the following table of a function that models exponential decay, determine the 3-year decay factor (rounded to the nearest thousandth).

Accepted Answer

A)  0.884 
B)  0.275 
C)  0.725 
D)  0.650 
E)  0.116 
A)  0.884 
B)  0.275 
C)  0.725 
D)  0.650 
E)  0.116

Question 11

Using the following table of a function that models exponential decay, determine the one-year decay factor (rounded to the nearest hundredth).

Accepted Answer

A)  0.02 
B)  0.44 
C)  0.56 
D)  0.22 
E)  0.81 
A)  0.02 
B)  0.44 
C)  0.56 
D)  0.22 
E)  0.81

Question 12

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 initial value for the function f ?

Accepted Answer

A)  100 
B)  200 
C)  300 
D)  400 
E)  Not enough information 
A)  100 
B)  200 
C)  300 
D)  400 
E)  Not enough information

Question 13

A region in the Arizona desert has 351 rabbits, and after 3 months there are 896 rabbits. Assuming that the number of rabbits grows exponentially, which of the following is the 3-month growth factor (rounded to the nearest tenth)?

Accepted Answer

A)  181.7 
B)  2.6 
C)  0.4 
D)  16.6 
E)  1.4 
A)  181.7 
B)  2.6 
C)  0.4 
D)  16.6 
E)  1.4

Question 14

The graph of a function that models exponential growth is shown. What is the initial population?

Accepted Answer

A)  0 
B)  300 
C)  Not enough information 
D)  390 
E)  1.3 
A)  0 
B)  300 
C)  Not enough information 
D)  390 
E)  1.3

Question 15

A town starts with 200 people and declines by 28% per year, with x representing the number of years. Which of the following functions model this behavior?

Accepted Answer

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

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 population of g(t) after 4 years exceeds the carrying capacity for the logistic function.

Accepted Answer

A) True 
 B)False

Question 17

The amount of caffeine (in milligrams) left in an adult body t hours after drinking a 16 oz. coke is modeled by   . What is the decay factor?

Accepted Answer

A)  0.72 
B)  28 
C)  72 
D)  155 
E)  0.28 
A)  0.72 
B)  28 
C)  72 
D)  155 
E)  0.28

Question 18

The model   describes the amount of bacteria in a Petri dish after t hours. Which one of the following written statements best describes this population?

Accepted Answer

A)  The amount of bacteria decreases by 17% each hour. 
B)  The amount of bacteria increases by 117% each hour. 
C)  The amount of bacteria decreases by 117% each hour. 
D)  The amount of bacteria increases by 17% each hour. 
E)  The amount of bacteria increases by 1.17% each hour. 
A)  The amount of bacteria decreases by 17% each hour. 
B)  The amount of bacteria increases by 117% each hour. 
C)  The amount of bacteria decreases by 117% each hour. 
D)  The amount of bacteria increases by 17% each hour. 
E)  The amount of bacteria increases by 1.17% each hour.

Question 19

What is the average rate of change in f from 3 to 6?

Accepted Answer

A)  0.1 
B)  -7.3 
C)  0.5 
D)  -0.1 
E)  7.3 
A)  0.1 
B)  -7.3 
C)  0.5 
D)  -0.1 
E)  7.3

Question 20

A bacterial infection starts with 92 bacteria, with the bacteria count doubling every 6-hour time period. Which of the following exponential growth models represent the number of bacteria x hours after infection?

Accepted Answer

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

The model describes the population of Town A. Which one of the following written statements best describes this population?

Which one of the following functions is described by the graph?

The value of an investment doubles every 32 months. If the investment starts with $3700, how much money is in the investment after 3 months (rounded to the nearest hundredth)?

The model describes the amount of Cesium-137 remaining after t years. Which one of the following written statements best describes the behavior of Cesium-137?

Using the graph below, find the average rate of change from to (rounded to the nearest tenth)?

The percent rate of change for the increase in bees per day for time 0 to 2 days is 7.46%.

Which one of the following scenarios does not describe exponential decay?

The average rate of change for the increase in bees per day for time 0 to 2 days is 4.02.

Using the following table of a function that models exponential decay, determine the 3-year decay factor (rounded to the nearest thousandth).

Using the following table of a function that models exponential decay, determine the one-year decay factor (rounded to the nearest hundredth).

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 initial value for the function f ?

A region in the Arizona desert has 351 rabbits, and after 3 months there are 896 rabbits. Assuming that the number of rabbits grows exponentially, which of the following is the 3-month growth factor (rounded to the nearest tenth)?

The graph of a function that models exponential growth is shown. What is the initial population?

A town starts with 200 people and declines by 28% per year, with x representing the number of years. Which of the following functions model this behavior?

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 population of g(t) after 4 years exceeds the carrying capacity for the logistic function.

The amount of caffeine (in milligrams) left in an adult body t hours after drinking a 16 oz. coke is modeled by . What is the decay factor?

The model describes the amount of bacteria in a Petri dish after t hours. Which one of the following written statements best describes this population?

What is the average rate of change in f from 3 to 6?

A bacterial infection starts with 92 bacteria, with the bacteria count doubling every 6-hour time period. Which of the following exponential growth models represent the number of bacteria x hours after infection?

Data, Functions, and Models

Linear Functions and Models

Logarithmic Functions and Exponential Modela

Quadratic Functions and Models

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Exam 3: Exponential Functions and Models

The model describes the population of Town A. Which one of the following written statements best describes this population?

Which one of the following functions is described by the graph?

The value of an investment doubles every 32 months. If the investment starts with $3700, how much money is in the investment after 3 months (rounded to the nearest hundredth)?

The model describes the amount of Cesium-137 remaining after t years. Which one of the following written statements best describes the behavior of Cesium-137?

Using the graph below, find the average rate of change from to (rounded to the nearest tenth)?

The percent rate of change for the increase in bees per day for time 0 to 2 days is 7.46%.

Which one of the following scenarios does not describe exponential decay?

The average rate of change for the increase in bees per day for time 0 to 2 days is 4.02.

Using the following table of a function that models exponential decay, determine the 3-year decay factor (rounded to the nearest thousandth).

Using the following table of a function that models exponential decay, determine the one-year decay factor (rounded to the nearest hundredth).

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 initial value for the function f ?

A region in the Arizona desert has 351 rabbits, and after 3 months there are 896 rabbits. Assuming that the number of rabbits grows exponentially, which of the following is the 3-month growth factor (rounded to the nearest tenth)?

The graph of a function that models exponential growth is shown. What is the initial population?

A town starts with 200 people and declines by 28% per year, with x representing the number of years. Which of the following functions model this behavior?

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 population of g(t) after 4 years exceeds the carrying capacity for the logistic function.

The amount of caffeine (in milligrams) left in an adult body t hours after drinking a 16 oz. coke is modeled by . What is the decay factor?

The model describes the amount of bacteria in a Petri dish after t hours. Which one of the following written statements best describes this population?

What is the average rate of change in f from 3 to 6?

A bacterial infection starts with 92 bacteria, with the bacteria count doubling every 6-hour time period. Which of the following exponential growth models represent the number of bacteria x hours after infection?

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