Question 146204
{{{I=(700w)/h^2}}} Start with the given equation 



{{{I=(700w)/(71)^2}}} Plug in {{{h=71}}}



{{{I=(700w)/(5041)}}} 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<=(700w)/(5041)<=33}}} 



{{{5041*22<=cross(5041)(700w)/cross(5041)<=5041*33}}} Multiply all sides by 5,041



{{{110902<=700w<=166353}}} Multiply



{{{110902/700<=cross(700)w/cross(700)<=166353/700}}} Divide all sides by 700 to isolate w



{{{158.43<=w<=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)