Exponents and Exponential Functions Review

What is the initial value of the situation represented by f(x)=0.05(2)^x?

• 0.05

• 2

• 0.1

• 1

Tags

CCSS.HSF.LE.B.5

Which variable represents time passed in the function y=ab^x?

• y

• a

• b

• x

Tags

CCSS.HSF.LE.B.5

What is the growth factor of the situation represented by f(x)=10(0.3)^x?

• 10

• 0.3

• 1

• 3

Tags

CCSS.HSF-IF.C.8B

The amount of ants in a colony, f, that is decaying can be modeled by                      f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

• 87%
• 13%
• 800%
• 8.7%

Tags

CCSS.HSF-IF.C.8B

The amount of ants in a colony, f, that is decaying can be modeled by                         f(x) = 800(.87)^x, where x is the number of days since the decay started. Suppose           f(20) = 49. Which of the following is true?

• After 20 days, there are 49 ants in the colony.
• After 49 days there are 20 ants in the colony.
• The amount of ants times 20 is 49.
• After 20 days the amount of ants remaining decreases by 49.

Tags

CCSS.HSF-IF.C.8B

The amount of downloads for an album on iTunes, g(d), where d is the number of days since the album was first uploaded can be represented as
g(d) = 5^1.5d
How many downloads will the album have after 3 days?

• 125
• 11
• 1398
• 140

Tags

CCSS.HSF.LE.B.5

A collectible car has been going up in price by 10% each year. If the car is already worth $29,000, how much will the car be worth in 5 years?

• $0.29
• $2,900,000,000
• $46,704.79
• $145,000

Tags

CCSS.HSF.BF.A.2

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 12 represent?

• The predicted increase in number of elephants in the refuge each year.
• The predicted decrease in number of elephants in the refuge each year.
• The number of years it will take for the elephant population to stop increasing.
• The initial amount of elephants in the park.

Tags

CCSS.HSF.LE.B.5

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 1.015 represent?

• The number of elephants was 1,015 in 1975.
• The number of elephants increases by 1.5% each year.
• The number of elephants increases by 101.5% each year.
• The number of elephants is multiplied by 1.015 each year.

Tags

CCSS.HSF.LE.B.5

The amount of ibuprofen (medicine for headaches) breaks down by 30% each hour. If a person took a 200 milligram ibuprofen, how much will be left after 3 hours?

• 5.4 mg
• 68.6 mg
• .0054 mg
• 2,400,000 mg

Tags

CCSS.HSF.LE.A.4