Answer
This person has a BMI of 24.4 and is not overweight.
Work Step by Step
We are given $I\propto \frac{w}{{{h}^{2}}}$, which can also be written as $I=\frac{kw}{{{h}^{2}}}$.
Where I is index, w is weight, h is height and k is constant.
According to the given information:
$\begin{align}
& I=\frac{kw}{{{h}^{2}}} \\
& 35.15=\frac{k(180)}{{{(60)}^{2}}} \\
& k=\frac{35.15(3600)}{180} \\
& k=\frac{126540}{180} \\
& k=703
\end{align}$
Substitute the value of k, h and w in $I=\frac{kw}{{{h}^{2}}}$.
$\begin{align}
& I=\frac{703w}{{{h}^{2}}} \\
& I=\frac{703(170)}{{{(70)}^{2}}} \\
& I=\frac{119510}{4900} \\
& I\approx 24.4
\end{align}$
This person has a BMI of 24.4 and is not overweight.
