# The equation =y8000(1.09)^x describes the amount of an investment (in

The equation $=y8000{\left(1.09\right)}^{x}$ describes the amount of an investment (in dollars) based on the number of years its
You can still ask an expert for help

## Want to know more about Exponential growth and decay?

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Anabelle Miller
We have the given equation is $y=8000{\left(1.9\right)}^{x}$
After seeing the equation it is clear that it is neither quadratic growth nor quadratic decay and it is also same for linear.
We also know that the exponential growth and decay is given by the formula
$y=a{b}^{x}$ where $a\ne 0$, the base $b\ne 1$ and x is any real number.
Now, if b>1 then the function represents exponential growth and if 0<b<1 then function represents exponential decay.
Comparing the given function we get
a=8000 and b= 1.09>1
Therefore, we can say that the given equation is an exponential growth.