Question 1

Model the data using an exponential function  .  Select the correct answer.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 2

The given table corresponds to the function  .

Accepted Answer

A) True 
 B)False

Question 3

Find the associated doubling time.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 4

Find the associated exponential decay model.  when  ; Half-life

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 5

The U.S. population was 180 million in 1965 and 240 million in 1995. Assuming exponential population growth, what will the population be in the year 2010? Select the correct answer.

Accepted Answer

A) 270 million 
B) 539 million 
C) 250 million 
D) 277 million 
E) 1,078 million

Question 6

The Better Baby Buggy Co. has just come out with a new model, the Turbo. The market research department predicts that the demand equation for Turbos is given by  where q is the number of buggies it can sell in one month if the price is $ x per buggy. At what price should it sell the buggies to get the largest revenue? Round the result to the nearest dollar.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 7

The given table corresponds to the function  .

Accepted Answer

A) True 
 B)False

Question 8

For the following demand equation, find the largest possible revenue.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 9

For the following demand equation, find the largest possible revenue.

Accepted Answer

A) 500 
B) 250,000 
C) 375,000 
D) 125,000 
E) 250

Question 10

Suppose the amount of carbon dioxide (in pounds per 15,000 miles)released by a typical sport utility vehicle (SUV)depends on its fuel efficiency according to the formula  where x is a fuel efficiency of an SUV in miles per gallon. According to the model, what is the fuel efficiency of an SUV that has the least carbon dioxide pollution?

Accepted Answer

A) 10 miles per gallon 
B) 24 miles per gallon 
C) 6 miles per gallon 
D) 11 miles per gallon 
E) 21 miles per gallon

Question 11

Find N , A , and b for the function given.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

Choose the logistic function that best approximates the given curve.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

Rock Solid Bank & Trust is offering a CD that pays 5% compounded continuously. How much interest would a $5,000 deposit earn over 15 years? (Round your answer to the nearest dollar.)Select the correct answer.

Accepted Answer

A) $5,585 
B) $15,585 
C) $10,395 
D) $10,569 
E) $10,585

Question 14

Find the logistic function  with the given properties.  has limiting value 16 and passes through (0, 8)and (1, 14).

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 15

Graph the function.  Select the correct answer.

Accepted Answer

A)   
B)   
C)   
D)

Question 16

You are trying to determine the half-life of a new radioactive element you have isolated. You start with 3 grams, and 4 days later you determine that it has decayed down to 0.1 gram. What is the half-life? Round your answer to three decimal places. Select the answer rounded to three decimal places.

Accepted Answer

A) 0.815 days 
B) 1.630 days 
C) 0.408 days 
D) 2.446 days 
E) 1.223 days

Question 17

Choose the logistic function that best approximates the given curve.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 18

Encouraged by the popularity of your Dungeons and Dragons website, www.mudbeast.net, you have decided to charge users who log on to the site. When you charged a $1.50 access fee, your web counter showed a demand of 160 "hits" per month. After you lowered the price to $1.00, activity increased to 410 hits per month. Obtain the monthly revenue R as a function of the access fee x .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

Choose the logistic function that best approximates the curve.

Accepted Answer

A)   
B)   
C)   
__________

Question 20

Choose the logistic function that best approximates the curve.

Accepted Answer

A)   
B)   
C)   
__________

Exam 2: Nonlinear Functions and Models

Model the data using an exponential function . Select the correct answer.

The given table corresponds to the function .

Find the associated doubling time.

Find the associated exponential decay model. when ; Half-life

The U.S. population was 180 million in 1965 and 240 million in 1995. Assuming exponential population growth, what will the population be in the year 2010? Select the correct answer.

The given table corresponds to the function .

For the following demand equation, find the largest possible revenue.

For the following demand equation, find the largest possible revenue.

Find N , A , and b for the function given.

Choose the logistic function that best approximates the given curve.

Rock Solid Bank & Trust is offering a CD that pays 5% compounded continuously. How much interest would a $5,000 deposit earn over 15 years? (Round your answer to the nearest dollar.) Select the correct answer.

Find the logistic function with the given properties. has limiting value 16 and passes through (0, 8) and (1, 14) .

Graph the function. Select the correct answer.

You are trying to determine the half-life of a new radioactive element you have isolated. You start with 3 grams, and 4 days later you determine that it has decayed down to 0.1 gram. What is the half-life? Round your answer to three decimal places. Select the answer rounded to three decimal places.

Choose the logistic function that best approximates the given curve.

Choose the logistic function that best approximates the curve.

Choose the logistic function that best approximates the curve.