# Rewrite the function to determine whether it represents exponential growth

Rewrite the function to determine whether it represents exponential growth or exponential decay.
$y=2{\left(1.06\right)}^{9t}$
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jojoann325
$y=2\left(1.06\right)$ The given function.
$y=2{\left({1.06}^{9}\right)}^{t}$ Power of a power property.
$y\approx 2{\left(1.7\right)}^{t}$ Evaluate the power.
$y=2{\left(1.7\right)}^{t}$
Since the factor1.7> 1, t is a growth factor.
Rewrite the function in exponential growth form.
$y=2{\left(1+0.7\right)}^{t}$
Therefore, the function represents exponential growth.
The function represents exponential growth.