Precalculus 3.1 Exponential Functions

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

• ^.08
• ^1.08
• .92
• 8

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

• A

• B

• C

• D

The current population of Allentown, Texas is 800 people. If the population is increasing at a rate of 3% each year, which equation could be used to determine the town’s population, y, after x years?

• y = 800(1.03)^x

• y = 800(.97)^x

• y = 800(1.3)^x

• y = 1.03(800)^x

• the 3.1% gain each year.

• the $309.30 that will be in the account after one year.

• the $300 dollars that will be in the account the second year.

• the $300 dollars that was used to open the account.

• The cost of living will increase by approximately 105% each year

• The cost of living will increase by approximately 5% each year

• The cost of living will decrease by approximately 95% each year

• The cost of living will decrease by approximately 5% each year

• The initial value of the comic book

• The rate of appreciation of the comic book

• The final value of the comic book

• The number of years elapsed

• The total cost of all of the tickets

• The number of unsold tickets remaining each year

• The number of tickets sold after 8.5 years

• The number of tickets sold this year

• The initial amount in the account is $5,205

• This represents exponential growth

• The growth rate is 25%

• The growth factor is 1.025