Exponential Percent Change

Given the function y = (1.75)^x, state the rate as a percent.

• 175%

• 75%

• 25%

• .75

Given the function y = 12(1.05)^x, state the growth factor.

• 1.05

• 5%

• .05

• .95

Write a function that represents the situation. Sales of $10,000 increase by 25% per year.

• y = 10000(.25)^x

• y = 10000(1.25)^x

• y = 10000(.75)^x

• y = 10000(1.75)^x

Write a function. A population of 100,000 decreases by 2% each year.

• y = 100,000(.02)^x

• y = 100,000(2)^x

• y = 100,000(1.02)^x

• y = 100,000(.98)^x

Write a function given the following. A population of 200 insects doubles each month.

• y = 2(200) ^x

• y = 200 (2) ^x

• y = 200 (1.2) ^x

• y = 200 (3) ^x

In 2010 the population of Anywhere, USA was 750. It is predicted to increase by 2% per year. What is the predicted population now?

• .00192

• 1089

• 169905672700000000000000

• 879

Find the exponential model of the function.

• y = 100(8.8)^x
• y = 100(1.88)^x
• y = 100(.88)^x
• y = 100(.12)^x

What is the equation of this table?

• y=512(1/4)^x
• y=32(4)^x
• y=32(1/4)^x
• y=512(4)^x

g(x)=3(2)^{x
Find g(3)}

• 216
• 24
• 18
• 28

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? 

• 101
• 102
• 103
• 104