# The total percent of individuals aged 16 to 24 enrolled in college as of October

The total percent of individuals aged 16 to 24 enrolled in college as of October of each year who completed high school during the preceding 12 months is $$\displaystyle{f{{\left({x}\right)}}}={66.925}{x}^{{{0.043}}}$$, where x is the number of years after 1999.
a) Use this model to estimate the total percent in 2003 and 2007.
The total percent in 2003 is __%
The total percent in 2007 is __%

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Step 1basic information
Given function is
$$\displaystyle{F}{\left({x}\right)}={66.925}{x}^{{{0.043}}}$$
Where x starts from 1999 onwards.
Step 2 solution
For year 2003
$$\displaystyle{x}={2003}-{1999}={4}$$
$$\displaystyle{x}={4}$$
$$\displaystyle{f{{\left({4}\right)}}}={66.925}{\left({4}\right)}^{{{0.043}}}$$
$$\displaystyle={71.0357}$$
$$\displaystyle\stackrel{\sim}{=}{71.036}$$
Simplify f
For year 2007
$$\displaystyle{x}={2007}-{1999}={8}$$
$$\displaystyle{x}={8}$$
$$\displaystyle{f{{\left({8}\right)}}}={66.925}{\left({8}\right)}^{{{0.043}}}$$
$$\displaystyle={73.1849}$$
$$\displaystyle\stackrel{\sim}{=}{73.185}$$