Problema Solution
The body mass index, I,can be used to determine aan individuals risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by formula, or model, I=700w/H2, where W=weight, inpounds, and H+height, in inches. FRancis weight 211 pounds and stands 75 inches tall. What is his approximate body mass index? find an inequality describing all weights W that Francis can have and be in low-risk category.
Answer provided by our tutors
The equation we need to use is
BMI = 700w / H2
where w = weight (lbs) = 211 and H = height (in) = 75, so we need to plug these in
BMI = 700*211 / (752) = 147700 / 5625 = 26.2577777...
The BMI rounds to 26.3. This is above a 25 so he is NOT low risk.
The inequality is BMI =< 25 (the symbol is less than or equal to, this site doesn't have a button here for that). Putting this into the equation, we have
25 >= 700w / H2
To write this in terms of w, solve for it to get:
25 H2 / 700 >= w