SOLUTION: The body mass index, I, can be used to determine an individual�s risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula, or

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Question 254942: The body mass index, I, can be used to determine an individual�s risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula, or model. I=700W/H2, where W=weight, in pounds, and H=height, in inches. Jerome is 67 inches tall. What weights will keep his body mass index between 23 and 33?

Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
I = 700*W/H2
W = weight in pounds
H = height in inches
< 25 = low risk

I presume when you says H2, you mean .

Jerome is 67 inches tall.

the formula to work with is:

substitute 67 for h to get:

In order for his index to be between 23 and 33, this formula needs to be modified as follows:

and

for greater than or equal to 23, the formula is:

multiply both sides of this equation by (67)^2 = 4489 to get:

divide both sides of this equation by 700 to get

Solve for W to get:

W >= 147.4957143

Similarly, the second equation of:

becomes:

Solve for W to get:

W <= 211.6242857

To the nearest tenth of a pound, Jerome needs to keep his weight between 147.5 and 211.6 pounds in order to keep his index between 23 and 33.