Question

1. the formula for body mass index is $bmi = \frac{w}{h^{2}}\times703$, where $w$ is a person’s weight (in pounds) and $h$ is a person’s height (in inches). find the weight of a 13 - year - old boy that is 60 inches tall and has a bmi of 20.5.

q. 98 pounds
r. 105 pounds
s. 112 pounds

Explanation:

Step1: Rearrange the BMI formula for weight.

Given $BMI=\frac{w}{h^{2}}\times703$, we can solve for $w$. First, multiply both sides by $h^{2}$ and then divide by 703. So, $w=\frac{BMI\times h^{2}}{703}$.

Step2: Substitute the given values.

We know that $BMI = 20.5$, $h = 60$ inches. Substitute these values into the formula: $w=\frac{20.5\times60^{2}}{703}$.
First, calculate $60^{2}=3600$. Then, $20.5\times3600 = 73800$. Finally, $w=\frac{73800}{703}\approx105$.

Answer:

R. 105 pounds