SOLUTION: 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

Algebra ->  Inequalities -> SOLUTION: 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      Log On


   

Question 145948: 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=700%2Aw%2Fh%5E2 where w=weight, in pounds and h=height, in inches.

Francis weighs 168 pounds and stands 68 inches tall. What is his approximate body mass index? Find an inequality describing all weights w that Francis can have and be in the low-risk category.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"What is his approximate body mass index?"


I=700%2Aw%2Fh%5E2 Start with the given equation.


I=700%2A168%2F%2868%29%5E2 Plug in w=168 and h=68


I=117600%2F%2868%29%5E2 Multiply 700 and 168 to get 117600.


I=117600%2F4624 Square 68 to get 4624.


I=25.4325 Divide.


So his approximate body mass index is about 25.43



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"Find an inequality describing all weights w that Francis can have and be in the low-risk catergory."


I=700%2Aw%2Fh%5E2 Start with the given equation.


I=700%2Aw%2F%2868%29%5E2 Plug in h=68


700%2Aw%2F%2868%29%5E2%3C25 Set the left side less than 25.


700%2Aw%2F4624%3C25 Square 68 to get 4624.


700%2Aw%3C115600 Multiply both sides by 4624.


w%3C165.14286 Divide both sides by 700 to isolate w.


So any weights less than 165 pounds will put him in the low-risk category.