Answer
Initial amount $a=6.72$
Rate of growth $r=100\%$
$g(5)=215.0$
Work Step by Step
The given expression is
$\Rightarrow g(t)=6.72(2)^t$
$\Rightarrow g(t)=6.72(1+1)^t$
The standard form of an exponential growth function is
$y=a(1+r)^t$
Initial amount $a=6.72$
Rate of growth $r=1=100\%$
Substitute $5$ for $t$.
$\Rightarrow g(5)=6.72(2)^5$
Evaluate the power.
$\Rightarrow g(5)=6.72(32)$
Simplify.
$\Rightarrow g(5)=215.04$
Round to the nearest tenth.
$\Rightarrow g(5)=215.0$