Question

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

y=100(0.945)^x
y=100(0.945)

Answer 1

y = 100(0.945)^x represents growth because there is an exponent of x. For exponential growth, it is assumed that the x > 1.

Percentage rate of increase: .945 * 100% = 94.5%

y = 100(.945) represents decay because there is no exponent of x. (Usually, there would be one, as x would be negative.)

Percentage rate of decrease: 94.5% as the previous one.


Good luck!

Answer 2

Answer: 5.5% decrease

Explanation: