Question 254942
I = 700*W/H2
W = weight in pounds
H = height in inches

< 25 = low risk


I presume when you says H2, you mean {{{h^2}}}.


Jerome is 67 inches tall.


the formula to work with is:


{{{700*W / h^2 < 25}}}


substitute 67 for h to get:


{{{700*W / (67)^2 < 25}}}


In order for his index to be between 23 and 33, this formula needs to be modified as follows:


{{{700*W / (67)^2 >= 23}}} and {{{700*W / (67)^2 <= 33}}}


for greater than or equal to 23, the formula is:


{{{700*W / (67)^2 >= 23}}}


multiply both sides of this equation by (67)^2 = 4489 to get:


{{{700*W >= 23*4489}}}


divide both sides of this equation by 700 to get


{{{W >= (23*4489)/700}}}


Solve for W to get:


W >= 147.4957143


Similarly, the second equation of:


{{{700*W / (67)^2 <= 33}}} becomes:


{{{W <= (33*4489)/700}}}


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.