Question 1

A town starts with 100 people and grows by 9% 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 2

In 1990, a town's population was 24,382. In 1998, the town's population increased to 30,608. Assuming that the population increased exponentially, the population in 2006 was 38,424.

Accepted Answer

A) True 
 B)False

Question 3

The cash flow (in millions) of a business at time t (in months) is modeled by   . What will the cash flow be after 3 years (round to the nearest ten-thousand)?

Accepted Answer

A)  $4.05 million 
B)  $20.27 million 
C)  $6.29 million 
D)  $3.68 million 
E)  $3.54 million 
A)  $4.05 million 
B)  $20.27 million 
C)  $6.29 million 
D)  $3.68 million 
E)  $3.54 million

Question 4

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 f(t) after 4 years exceeds the carrying capacity for the logistic function.

Accepted Answer

A) True 
 B)False

Question 5

The growth factor is 1.061.

Accepted Answer

A) True 
 B)False

Question 6

What type of function does the data represent?

Accepted Answer

A)  None of the above 
B)  Exponential Growth 
C)  Linear Growth 
D)  Linear Decay 
E)  Exponential Decay 
A)  None of the above 
B)  Exponential Growth 
C)  Linear Growth 
D)  Linear Decay 
E)  Exponential Decay

Question 7

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

Accepted Answer

A)  0.210 
B)  0.790 
C)  0.624 
D)  0.376 
E)  Not enough information 
A)  0.210 
B)  0.790 
C)  0.624 
D)  0.376 
E)  Not enough information

Question 8

Morphine is administered to a patient intravenously with an initial amount of 14 mg. About 26.7% 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 for 1.5-hour periods of time?

Accepted Answer

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

Question 9

Sara invested $5700 into an account with an interest rate of 3.3% each year, compounded daily. How much money will be in the account after 3 years (rounded to the nearest hundredth)?

Accepted Answer

A)  $5,891.23 
B)  $6,293.15 
C)  $6,283.13 
D)  $798,899,612.18 
E)  $5,888.10 
A)  $5,891.23 
B)  $6,293.15 
C)  $6,283.13 
D)  $798,899,612.18 
E)  $5,888.10

Question 10

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

Accepted Answer

A)  1.32 
B)  1.75 
C)  0.87 
D)  1.15 
E)  0.76 
A)  1.32 
B)  1.75 
C)  0.87 
D)  1.15 
E)  0.76

A town starts with 100 people and grows by 9% per year, with x representing the number of years. Which of the following functions model this behavior?

In 1990, a town's population was 24,382. In 1998, the town's population increased to 30,608. Assuming that the population increased exponentially, the population in 2006 was 38,424.

The cash flow (in millions) of a business at time t (in months) is modeled by . What will the cash flow be after 3 years (round to the nearest ten-thousand)?

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 f(t) after 4 years exceeds the carrying capacity for the logistic function.

The growth factor is 1.061.

What type of function does the data represent?

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

Morphine is administered to a patient intravenously with an initial amount of 14 mg. About 26.7% 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 for 1.5-hour periods of time?

Sara invested $5700 into an account with an interest rate of 3.3% each year, compounded daily. How much money will be in the account after 3 years (rounded to the nearest hundredth)?

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

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

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Exam 3: Exponential Functions and Models

A town starts with 100 people and grows by 9% per year, with x representing the number of years. Which of the following functions model this behavior?

In 1990, a town's population was 24,382. In 1998, the town's population increased to 30,608. Assuming that the population increased exponentially, the population in 2006 was 38,424.

The cash flow (in millions) of a business at time t (in months) is modeled by . What will the cash flow be after 3 years (round to the nearest ten-thousand)?

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 f(t) after 4 years exceeds the carrying capacity for the logistic function.

The growth factor is 1.061.

What type of function does the data represent?

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

Morphine is administered to a patient intravenously with an initial amount of 14 mg. About 26.7% 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 for 1.5-hour periods of time?

Sara invested $5700 into an account with an interest rate of 3.3% each year, compounded daily. How much money will be in the account after 3 years (rounded to the nearest hundredth)?

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

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