Exponential Functions, Growth, and Decay

The value of a car you purchased for $20,000 decreases at a rate of 12% each year. What will the value of the car be after 3 years?

• $12,800.00

• $13,629.44

• $17,600.00

• $28,098.56

The horizontal asymptote of y = 3(2)^x is:

• the y-axis

• the x-axis

• y = x

• There is no asymptote

An initial investment of $480 earns interest for 7 years in an account that earns 13% interest, compounded quarterly. Find the amount of money in the account at the end of the 7 year period.

• $1138.34

• $1129.25

• $1175.34

• $695.340

Determine the value of the decay rate for the function y = 56(0.45)^x?

• 0.55

• 0.45

• 1.45

• 1.55

Determine if the graph represents growth or decay. Also determine the y-intercept.

• decay, 5

• decay, 1

• growth, 5

• growth, 1

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

• 300

• 1.16

• .16

• x

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x

• y=1.09(1400)^x

• y=1400(.91)^x

• y=1.09^x

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth

• Decay

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.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Identify the domain of the exponential function: y=5\left(\frac{1}{3}\right)^{\left(x-1\right)}

• y > 1

• All real numbers

• y > -1

• x > -1