SOLUTION: 4) The body mass index I can be used to determine an individuals risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula,

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Question 146204: 4) The body mass index I can be used to determine an individuals 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=%28700w%29%2Fh%5E2 where w=weight, in pounds and h=height in inches. Jerome is 71 inches tall.

What weights will keep his body mass index between 22 and 33?

Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
I=%28700w%29%2Fh%5E2 Start with the given equation


I=%28700w%29%2F%2871%29%5E2 Plug in h=71


I=%28700w%29%2F%285041%29 Square 71 to get 5,041


Since we want the body index to be in between 22 and 33, this means we must construct the following inequality


22%3C=%28700w%29%2F%285041%29%3C=33


5041%2A22%3C=cross%285041%29%28700w%29%2Fcross%285041%29%3C=5041%2A33 Multiply all sides by 5,041


110902%3C=700w%3C=166353 Multiply


110902%2F700%3C=cross%28700%29w%2Fcross%28700%29%3C=166353%2F700 Divide all sides by 700 to isolate w


158.43%3C=w%3C=237.64 Divide


So he must be within 158 and 238 pounds to have a body mass index between 22 and 33 (I rounded to the nearest pound)