Question

question 3
1 pts
the formula to compute a persons body mass index is b = 703\frac{w}{h^{2}}. b represents the body mass index, w is the persons weight in pounds, and h represents the persons height in inches.
what is the weight to the nearest pound of a person who is 64 inches tall and has a body mass index of 21.45?
for teacher use only
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145 pounds
not enough information
214.5 pounds
125 pounds

Explanation:

Step1: Rearrange the BMI formula for w

Given $B = 703\frac{w}{h^{2}}$, we can solve for $w$ by multiplying both sides by $h^{2}$ and then dividing by 703. So $w=\frac{B\times h^{2}}{703}$.

Step2: Substitute the given values

We know that $B = 21.45$ and $h = 64$. Substitute these values into the formula: $w=\frac{21.45\times64^{2}}{703}$. First, calculate $64^{2}=4096$. Then $21.45\times4096 = 21.45\times(4000 + 90+6)=21.45\times4000+21.45\times90 + 21.45\times6=85800+1930.5+128.7 = 87859.2$. Now, $w=\frac{87859.2}{703}\approx125$.

Answer:

125 pounds