Exponential Equations

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

• 300

• 1.16

• .16

• x

An adult takes 800 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours? (hint: create equation first)

• 101

• 102

• 103

• 104

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

Solve for n:  25^n-4 = 5³ⁿ⁺¹

• n=7

• n=-9

• n=8

• n=1

Solve: 9^8-x = 27^x-3

• x = 5

• x = -5

• x = 1/5

• x = -1/5

Find the exponential equation that represents the table.

• y = 2(3)^x

• y = 3 + (3)^x

• y = 3(2)^x

• y = 6(2)^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 following graph.

• Exponential Growth

• Exponential Decay

• Logarithmic