Question

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

y=490(0.92)^x

Answer 1

• Decay
• Decrease rate is 8%

Explanation:

Given function:

• y = 490(0.92)^x

The base of the exponent is 0.92. This represents a decay as 0.92 is less than 1. It would be a growth function is the base was greater than 1.

The rate of decrease is

• 0.92 times

Percent decrease is

• (1 - 0.92)*100% = 8%