Answer
The model exists for men.
Work Step by Step
Consider the model:
$p\left( x \right)=-0.002{{x}^{2}}+0.15x+22.86$
Denote the percentage body fat by $p\left( x \right)$ is the above function and x as the number of years after 25 years.
So, when the age is 25, the value of $x$ is supposed to be zero, that is $x=0$.
Therefore, substitute $x=0$ in the above model as follows:
$\begin{align}
& p\left( 0 \right)=-0.002{{\left( 0 \right)}^{2}}+0.15\left( 0 \right)+22.86 \\
& =22.86 \\
& \approx 23
\end{align}$
It can be seen from the graph that at the age of 25, the percentage body fat in women is 34 and percent body fat in men is 23.
The calculated data from the expression represents the graph of body fat of men.
Hence, the model exists for men.
