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

tinfoQ 2021-09-23 Answered
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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Expert Answer

komunidadO
Answered 2021-09-24 Author has 10723 answers
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
\(\displaystyle{x}={2007}-{1999}={8}\)
\(\displaystyle{x}={8}\)
\(\displaystyle{f{{\left({8}\right)}}}={66.925}{\left({8}\right)}^{{{0.043}}}\)
\(\displaystyle={73.1849}\)
\(\displaystyle\stackrel{\sim}{=}{73.185}\)
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