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In Mathematics / Middle School | 2014-09-27

The formula to compute a person's body mass index is [tex]B = \frac{700 \times W}{H^2}[/tex] (where [tex]W/H^2[/tex] means [tex]W[/tex] divided by [tex]H[/tex] squared).

Part A: Solve [tex]B = \frac{700 \times W}{H^2}[/tex] for the variable [tex]W[/tex].

Part B: 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?

Asked by Alleniscool

Answer (2)

By "solve" in part A, do you mean make W the subject of the formula? In which case: A: B = 700 x W/h2 B x h2 =700 x W (B x h2)/700=W B: (21.45 x 64^{2})/700=W 87859.2/700=W 126=W 126 pounds

Answered by RSTalbut | 2024-06-10

To solve for W in the BMI formula, we rearranged it to get W = 700 B × H 2 ​ . For a height of 64 inches and a BMI of 21.45, the calculated weight is approximately 125 pounds. Thus, the person's weight is approximately 125 pounds after rounding.
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Answered by RSTalbut | 2025-01-23