Question 193262
{{{I=(700w)/h^2}}} Start with the given equation 



{{{I=(700w)/(73)^2}}} Plug in {{{h=73}}} (the given height)



{{{I=(700w)/5329}}} Square 73 to get 5,329



Since we want the body index to be in between 19 and 27, this means we must construct the following inequality



{{{19<=I<=27}}} ... this says that the body mass index "I" is greater than or equal to 19 AND is less than or equal to 27 (ie it is between 19 and 27)



{{{19<=(700w)/5329<=27}}} Plug in {{{I=(700w)/5329}}} (from above)



{{{5329*19<=cross(5329)(700w)/cross(5329)<=5329*27}}} Multiply ALL sides by 5,329



{{{101251<=700w<=143883}}} Multiply



{{{101251/700<=cross(700)w/cross(700)<=143883/700}}} Divide ALL sides by 700 to isolate w



{{{144.644<=w<=205.547}}} Divide



{{{145<=w<=206}}} Round to the nearest whole number



So his weight must be within 145 and 206 pounds to have a body mass index between 19 and 27.