Ch5 Exponential And Logarithmic Functions Complete Test Bank

College Algebra, 5e (Young)

Chapter 5 Exponential and Logarithmic Functions

5.5 Exponential and Logarithmic Models

1) In 2002 the population of Stony Creek was 6500. Their population increases by 0.5% per year. What is the expected population in Stony Creek in 2009? Round your answer to the nearest whole number.

A) 6732

B) 215,250

C) 6533

D) 232

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 05

Learning Objective: Solve problems such as species populations, credit card payoff, and wearoff of anesthesia through logarithmic models.

2) In 2001, the population of Pleasantville was 53,500. Their population increases by 2.6% per year. What is the expected population of Pleasantville in 2018? Round your answer to the nearest whole number.

A) 126,176

B) 54,891

C) 83,236

D) 29,736

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 05

Learning Objective: Solve problems such as species populations, credit card payoff, and wearoff of anesthesia through logarithmic models.

3) In 2001 the population of Mountainville was 9,800. Their population increases by 0.24% per year. What is the expected population of Mountainville in 2007? Round your answer to the nearest whole number.

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 05

Learning Objective: Solve problems such as species populations, credit card payoff, and wearoff of anesthesia through logarithmic models.

4) Phytoplankton are microscopic plants that live in the ocean. Phytoplankton grow abundantly in oceans around the world and are the foundation of the marine food chain. One variety of phytoplankton growing in Arctic waters is increasing at a rate of 17% per month. If it is estimated that there are 80 million in the water, how many will there be in 8 months? Utilize formula where N represents the population of phytoplankton. Round to the nearest million.

A) 1833 millions

B) 312 millions

C) 10,880 millions

D) 1510 millions

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 05

Learning Objective: Solve problems such as species populations, credit card payoff, and wearoff of anesthesia through logarithmic models.

5) An cherry pie is taken out of the oven with an internal temperature of 338°F. It is placed on a rack in a room with a temperature of 78°F. After 18 minutes, the temperature of the pie is 225°F. What will be the temperature of the pie 20 minutes after coming out of the oven? Round to one decimal place.

A) 216.0°F

B) 215.1°F

C) 567.9°F

D) 343.6°F

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 05

Learning Objective: Use logistic growth models to represent phenomena involving limits to growth.

6) At 1 P.M. a body is found in a park. The police measure the body's temperature to be 84°F. At . the medical examiner arrives and determines the temperature to be 80°F. Assuming the temperature of the park was constant at 59°F, how long has the victim been dead? (Normal body temperature is 98.6°F.) Round to one decimal place.

A) 10.6 hours before 5 P.M.

B) 4.6 hours before 1 P.M.

C) 10.6 hours before 1 P.M.

D) 24.3 hours before 1 P.M.

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 05

Learning Objective: Use logistic growth models to represent phenomena involving limits to growth.

7) Carbon-14 has a half-life of 5730 years. How long will it take 15 grams of carbon-14 to be reduced to 12.5 grams? Round to the nearest year.

A) 655 years

B) 3470 years

C) 1507 years

D) 14,812 years

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 05

Learning Objective: Apply exponential growth and exponential decay models to biological, demographic, and economic phenomena.

8) Victor just graduated from law school owing $75,000 in student loans. The annual interest rate is 8.5%. Approximately how many years will it take to pay off her student loan if she makes a monthly payment of $690? Round to the nearest year.

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 05

Learning Objective: Solve problems such as species populations, credit card payoff, and wearoff of anesthesia through logarithmic models.

9) Match the function with the graph and the model name.

A) Logistic

B) Logistic

C) Logistic

D) Logistic

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 05

Learning Objective: Represent distributions by means of a Gaussian model.

10) Match the graph and the model name with the function.

Exponential decay

A)

B)

C)

D)

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 05

Learning Objective: Represent distributions by means of a Gaussian model.

11) Does the graph shown display exponential growth or decay?

Diff: 1 Var: 1

Chapter/Section: Ch 05, Sec 05

Learning Objective: Represent distributions by means of a Gaussian model.

12) Find the time it will take to pay off a credit card with a balance of $12,300.00 and interest rate of 13.1% if the monthly payment is $450. Express the answer as years to the nearest 2 decimal places.

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 05

Learning Objective: Represent distributions by means of a Gaussian model.

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