Worksheet – Solving Exponentials Name: ______

Solve the following for x.

1. 33-x = 37 2. 4x+2 = 64 3.

4. 32x = 5. 16x = 8 6.

7. 32x = 8. 9. 16x+1 = 64

Solve the following for b…these aren’t exponentials…

10. 20 = ½b2 11. 12.

See Back Please

Integrated III: Small World Name: ______

Writing Exponentials Date:______Period: ______

1. A 1993 Lexus costs $39,375 and the car depreciates during its first 7 years a total of 46%.

a.) Suppose the depreciation is exponential. Find a formula for the value of the car at time t.

Be sure to find the depreciation rate for ONE year…not seven.

b.) Suppose instead that the depreciation is linear. Find a formula for the value of the car at time t.

c.) If this were your car and you were trading it in after 4 years, which depreciation model would you prefer? (exponential or linear)

2.) Assume that f and g are exponential functions. Find an equation for each.