To calculate the perimeter of an isosceles triangle, the expression 2[i]s[/i] +[i] b[/i] is used, where [i]s[/i] represents the length of the two congruent sides and [i]b[/i] represents the length of the base. What effect, if any, does increasing the length of the congruent sides have on the expression?

[list=1] [*]Refer to the expression given: 2[i]s[/i] +[i] b[/i]. [*]If the value of the congruent sides, [i]s[/i], is increased, the product of 2[i]s[/i] will also increase. Likewise, if the value of [i]s[/i] is decreased, the value of 2[i]s[/i] will also decrease. [*]If the value of [i]s[/i] is changed, the result of the change in the terms is a doubling of the change in [i]s[/i] while the value of [i]b[/i] remains the same. [/list] This applet is provided by Walch Education as supplemental material for the [i]CCGPS Coordinate Algebra[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.

Money deposited in a bank account earns interest on the initial amount deposited as well as any interest earned as time passes. This compound interest can be described by the expression [math]P(1 + r)^n[/math], where [math]P[/math] represents the initial amount deposited, [math]r[/math] represents the interest rate, [math]n[/math] represents the number of months that pass. How does a change in each variable affect the value of the expression?

[list=1] [*]Refer to the given expression: [math]P(1 + r)^n[/math]. [*]Changing the value of [math]P[/math] does not change the value of the factor [math](1 + r)^n[/math], but it will change the value of the expression by a factor of [math]P[/math]. In other words, the change in [math]P[/math] will multiply by the result of [math](1 + r)^n[/math]. [*]Similarly, changing [math]r[/math] changes the base of the exponent (the number that will be multiplied by itself), but does not change the value of [math]P[/math]. This change will affect the value of the overall expression. [*]Changing [math]n[/math] changes the number of times [math](1 + r)[/math] will be multiplied by itself, but does not change the value of [math]P[/math]. This change will affect the value of the overall expression. [/list] This applet is provided by Walch Education as supplemental material for the [i]CCGPS Coordinate Algebra[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.