9.1 & 9.2 Exponential Growth and Decay

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

• 300

• .16

• 1.16

• x

Tags

CCSS.HSF.LE.B.5

Is y = 4(.20)^x growth or decay?

• Growth

• Decay

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

What is the decay rate in the following model?

A=1200(.85)⁶

• 1200

• .85

• .15

• 6

Tags

CCSS.HSF-IF.C.8B

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

Tags

CCSS.HSF.LE.A.2

Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Tags

CCSS.HSF.LE.A.2

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766

• 9765

• 9006

• 5433

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. Is the population of elephants increasing or decreasing?

• Increasing

• Decreasing

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%

• 8.7%

• 800%

• 13%

Tags

CCSS.HSF-IF.C.8B

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

• $46,704.79

• $2,900,000,000

• $145,000

Tags

CCSS.HSF.BF.A.2