Question

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

y=47(0.63)
x

Answer 1

decay function

percent rate of decrease is 37%

Explanation:

I assume the x is the exponent.

`y = 47(0.63)^x`

The number raised to the exponent x is 0.63 which is between 0 and 1. That means that as x increases, (0.63)^x decreases. That means it is an exponential decay function.

Each unit more in x results in 0.63 being multiplied by the number.

Since 1 - 0.63 = 0.37, the percent rate of decrease is 37%.

Answer:

decay function

percent rate of decrease is 37%

Answer 2

It represents decay because the term inside the parentheses (which is “b”) is less than one. To find the percentage rate, subtract b from 1 and multiply it by 100.

1-0.63=0.37
0.37(100)=37

So the final answer is 37% decrease.