Question

What is the growth percentage of h(x) = .5(2)" ?A200%B2%100%D10%

Answer 1

$h(x)=0.5(2)^x^{}$

We can compute the growth percentage, computing first, two consecutive values, as follows:

$\begin{gathered} h(1)=0.5(2)^1=0.5(2)=1 \\ h(2)=0.5(2)^2=0.5(4)=2 \end{gathered}$

Then, the growth percentage is:

$\frac{h(2)-h(1)}{h(1)}\cdot100=\frac{2-1}{1}\cdot100=100\text{ \%}$