Question 145948
"What is his approximate body mass index?"



{{{I=700*w/h^2}}} Start with the given equation.



{{{I=700*168/(68)^2}}} Plug in {{{w=168}}} and {{{h=68}}} 



{{{I=117600/(68)^2}}} Multiply {{{700}}} and {{{168}}} to get {{{117600}}}.  



{{{I=117600/4624}}} 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*w/h^2}}} Start with the given equation.



{{{I=700*w/(68)^2}}} Plug in {{{h=68}}} 



{{{700*w/(68)^2<25}}} Set the left side less than 25.



{{{700*w/4624<25}}} Square {{{68}}} to get {{{4624}}}.  



{{{700*w<115600}}} Multiply both sides by {{{4624}}}.



{{{w<165.14286}}} Divide both sides by {{{700}}} to isolate w.



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