Question

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

y=690(1.909)^x
y=690(1.909)
x

Answer 1

the growth percent is 90.9%

Explanation:

Given the exponential function:

y=690*
`1.909^(x)`

The exponential equation represents an exponential growth because the rate of decay is 1.909 which is bigger than 1.

The general form equation is:

y(x)= a*
`(1+r)^(x)` such that r is the decay percent.

Comparing two equation we have 1-r = 0.25

==> r= 1+0.909 = 1.909 =190.9%

Then, the growth percent is 90.9%

Hope it will find you well.