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.
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