UCSS Math II 3B.3.1 Example 1

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.