A city’s population has increased [math]40\%[/math] during the last [math]5[/math] years and is now [math]448,000[/math] people. What was the population [math]5[/math] years ago? Assuming that the population increased at the same rate each year, what was the annual rate of increase?

[list=1] [*]Write the exponential growth model and identify what each variable represents. [*]Substitute the given values into the growth model. [*]Find [math]a[/math], the initial amount in the exponential growth model. [*]To find the annual rate of increase, determine how to rewrite the exponential expression. [*]Rewrite the exponential expression to reveal the annual rate of increase. [*]Verify the answers shown in steps 3 and 5. [/list] This applet is provided by Walch Education as supplemental material for the [i]UCSS Secondary Math II[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.

Sajeena paid [math]$20,000[/math] for a new car in April 2004. The car was worth [math]$6,000[/math] in April 2012. Assuming a constant annual rate of decrease in value, what was the annual rate of decrease? What was the value of the car in April 2009? What is the predicted value of the car for April 2018?

[list=1] [*]Find the percent of decrease for the time period April 2004 to April 2012. [*]Find the annual decay factor. [*]Use the annual decay factor to find the annual rate of decay, or decrease. [*]Find the value of the car in April 2009. [*]Find the predicted value of the car in April 2018. [*]Summarize the answers from steps 3, 4, and 5. [/list] This applet is provided by Walch Education as supplemental material for the [i]UCSS Secondary Math II[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.