1 pt

3.

$f\left(x\right)=3\xb7{\left(\frac{1}{2}\right)}^{x}$

A

Growth

B

Decay

**Use the following exponential growth/decay models to choose a function, f(t), and evaluate the specified amounts described in problems 5-8. **

Exponential Growth: $f\left(t\right)=a{(1+r)}^{t}$ Exponential Decay: $f\left(t\right)=a{(1-r)}^{t}$

1 pt

6.

By referring to the previous problem, find the value of Josh’s computer after 3 years.

A

$512

B

$513

C

$514

D

$515

1 pt

7.

P. J. is trying to help the environment by recycling more material and reduce his waste. The first month, P. J. recycles 5 pounds of re-usable materials, and increases that amount by an average of 22% each month. Write the equation for the function, *f*(*t*), where t is the number of months that P. J. recycles.

A

$f\left(t\right)=5{(1.19)}^{t}$

B

$f\left(t\right)=5{(1.20)}^{t}$

C

$f\left(t\right)=5{(1.21)}^{t}$

D

$f\left(t\right)=5{(1.22)}^{t}$

1 pt

8.

By using your equation from the previous problem, about how many pounds is P. J. able to recycle after 8 months?

A

about 24

B

about 25

C

about 26

D

about 27