# Identify each of the following functions as exponential growth or decay. Then give the rate of growth or decay as a percent. y=a(1/2)^t

Identify each of the following functions as exponential growth or decay. Then give the rate of growth or decay as a percent.
$y=a{\left(\frac{1}{2}\right)}^{t}$
You can still ask an expert for help

• 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

Clara Reese

$y=a{\left(\frac{1}{2}\right)}^{t}$
This is a decay function
Rate of decay is $1-0.5=0.5$
That is 50%
Consider an exponential function of the form: $y=b\cdot {a}^{x}$
If a>1, then it is exponential growth function with growth rate $a-1$
If a<1, then it is exponential decay function with decay rate $1-a$