Manipulate Exponential Functions

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(.97)^x

• f(x)=400(1-0.03)^x

• f(x)=400(1.03)^x

• f(x)=400(0.03)^x

A new savings account is opened with $1500 and gains 1.5% annual interest. What is the exponential function?

• f(x)=1500(1+1.5)^x

• f(x)=1500(1+0.015)^x

• f(x)=1500(1.00375)^x

• f(x)=1500(1.5)^x

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

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x

• y=15,000(1.08)^x

• y=15,000(0.92)^x

• y=15,000(0.08)^x

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

• 300

• 1.16

• .16

• x

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8

• 4

• 2

• Cannot be determined

If you were solving for x using the same base method, what would be the best base to pick?
9^x+8 = 81

• 9

• 81

• 2

• no common base

Solve: 2^x = 4^x+1

• -2

• 2

• -3

• 3

27^2x = 3^x-7

• -7/3

• -1

• -5/7

• -7/5

Solve for n:  25^n-4 = 5³ⁿ⁺¹

• n=7

• n=-9

• n=8

• n=1