Exponential Review

Write an equation that models the following situation:

The current student count at John Jay is 6500, it is expected to grow at a rate of 14% next year.

• y= 6500(1+.14)^x

• y= 6500(1-.14)^x

• y= 6500(14)^x

• y= 14(6500)^x

What is the y-intercept of the function f(x)=2(4)^x ?

• 2

• 4

• (4)^x

• 8

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%

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

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

• Exponential Decay

• Exponential Growth

Is the following function an example of decay or growth? f(x) = 2(1.25)^x

• Exponential Growth

• Exponential Decay

Which function will show exponential behavior?

• F(x)

• G(x)

• both

• neither

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

Is y = -5(4)^x growth or decay?

• Growth

• Decay

Is y = 54(.20)^x growth or decay?

• Growth

• Decay