Answer
The provided model exists for women.
Work Step by Step
Consider the model:
$p\left( x \right)=-0.004{{x}^{2}}+0.25x+33.64$
The percentage body fat is denoted by $p\left( x \right)$ is the above function and x is the number of years after 25 years.
So, when the age is 25, the value of $x$ is supposed to be zero, that is $x=0$.
Substitute $x=0$ in the given model to get:
$\begin{align}
& p\left( 0 \right)=-0.004{{\left( 0 \right)}^{2}}+0.25\left( 0 \right)+33.64 \\
& =33.64 \\
& \approx 34
\end{align}$
It can be seen from the graph that at the age of 25, the percentage body fat in women is 34 and the percent body fat in men is 23.
The calculated data from the expression models the graph of body fat of men.
Hence, the model exists for women.
