Module 8 Review

Determine whether the set of data can be modeled by an exponential function.

• No; the domain values are at regular intervals, but the range values demonstrate a common difference.

• No; the domain values are at regular intervals, but the range values demonstrate a common ratio.

• Yes; the domain values are at regular intervals, and the range values demonstrate a common difference.

• Yes; the domain values are at regular intervals, and the range values demonstrate a common ratio.

• Exponential Growth
• Exponential Decay

Which function represents exponential growth?

• y = 8x

STORIES: A funny story was shared in 1st period math class by 2 people. During 2nd period, those 2 people each tell one more person. Each new period, each person tells one more person, doubling the amount of people who hear the funny story. This can be modeled by the function y = 2^x. The y-intercept of this function is __________.

• 0

• 1

• 2

• 
• 
• 
• 

SAVINGS: Skye’s grandparents invest $1500 in a college account. It earns 4.9% interest that is compounded annually. How much money will be in the account after 10 years? Round to the nearest cent, if necessary.

Which function corresponds to this graph?

POPULATION A city’s population is 358,000 and is decreasing at an annual rate of 0.25%. Which function represents the estimated population after t years?

LAND The average price of 1 acre of land in Berrien County is currently $6236 and is increasing at an annual rate of 3.2%. Which function represents the estimated average price of 1 acre of land in Berrien County after x years?

• The domain is all real numbers. The relevant domain is all nonnegative integers.

• The y-intercept is 1.

• As x increases, y increases; and, as x decreases, y approaches 0.

• The range is all real numbers.

• The domain and relevant domain are both {x ≥ 0}.