Answer
BMI$\approx 24.4$,
the person is not overweight.
Work Step by Step
Solving Variation Problems (see p. 424)
1. $\ \ $Write an equation that models the given English statement.
2. $\ \ $Substitute the given pair of values into the equation in step 1 and find the value of k, the constant of variation.
3. $\ \ $Substitute the value of k into the equation in step 1.
4. $\ \ $Use the equation from step 3 to answer the problem's question.
-----------
Let B be the body-mass index,
h the height (in), and
w the weight (lb) of a person
$B$ varies directly as $w$, and inversely as $h^{2},\ \displaystyle \qquad B=\frac{kw}{h^{2}}$
2.
$35.15=\displaystyle \frac{k\cdot 180}{60^{2}}\qquad /\times\frac{60^{2}}{180}$
$\displaystyle \frac{35.15\cdot 3600}{180}=k$
$k=703$
3.
$B=\displaystyle \frac{703w}{h^{2}}$
4.
$w=170,\ h=70,\ B=?$
$B=\displaystyle \frac{703\cdot 170}{70^{2}}\approx 24.4$
Since the BMI is between 20 and 25 (normal),
the person is not overweight.
