The body mass index,I, can be used to determine an individual's risk for heart disease. An index less than 25 indicate a low risk. The body mass idex is given by the formula, or model, I=700w/H^2, where w=weight, in pounds, and h= height in inches. Francis weights 163 pounds and stands 69 iches tall. What is his approximate body mass index? Find and inequality describing all weights W that Franis can have and be in the low risk category.

Question

The body mass index,I, can be used to determine an individual's risk for heart disease. An index less than 25 indicate a low risk. The body mass idex is given  by the formula, or model, I=700w/H^2, where w=weight, in pounds, and h= height in inches. Francis weights 163 pounds and stands 69 iches tall. What is his approximate body mass index? Find and inequality describing all weights W that Franis can have and be in the low risk category.

gw2011 · Answer

Body Mass Index:

I=[(700)(163)]/(69)^2
I=114,100/4761
I=23.966
I=24 approximately

Inequality:

700w/H^2<25
700w<(25)(H^2)
w<25H^2/700
w<H^2/28