# f(x) = 100(1.25)^x Is it true or false, the growth factor

$$\displaystyle{f{{\left({x}\right)}}}={100}{\left({1.25}\right)}^{{x}}$$
Is it true or false, the growth factor is 25%? If not, what is and what is 25%?

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oppturf
Given:
$$\displaystyle{f{{\left({x}\right)}}}={100}{\left({1.25}\right)}^{{x}}$$
The formula:
$$\displaystyle{f{{\left({x}\right)}}}={a}{\left({1}+{r}\right)}^{{x}}$$
Where the growth factor is 1+r, and the growth rate is r. So, in the given, 25% is the growth rate (0.25), and the growth factor is 1+r=1+0.25=1.25.