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(0.971)^x

Answer 1

The change represents decay and the percentage decrease is 2.9%

Exponential function

The standard exponential function is expressed as y = ab^x

where:

a is the initial

b is the rate

If the value of b is less than 1 hence the function is decay and if greater than 1, the function is growth

GIven the expoenential function y=100(0.971)^x

Since the value of b = 0.971 < 1, hence the function is a decay.

The percentage decrease = 1 - 0.971 = 2.9%

Hence the percentage decrease is 2.9%

Learn more on exponential function here: brainly.com/question/12940982