Question

I have an algerbra 2 question.

Answer 1

In order to find out if the exponential function represents a growth or a decay, let's look at the number that is base to the exponent x.

If the number is greater than 1, so the function represents a growth, and if the number is less than 1, the function represents a decay.

Since the number is 1.075, the function represents a growth.

To find the % increase, first let's convert the number to percentage, and then subtract 100%:

$\begin{gathered} 1.075=1.075\cdot100\text{\%}=107.5\text{\%} \\ 107.5\text{\%}-100\text{\%}=7.5\text{\%} \end{gathered}$

So the percent increase is 7.5%.