Question 205548
If this is the formula
{{{I=700w/H^2}}}
then solution is correct

1. plug in values given
a. {{{(700*170)/((68)^2)}}}
-> {{{119000/4624}}} = 25.74


Frank's Index is 25.74

2. Find the inequality
a. 25 is the highest Index that a person can have and still be in the low risk category
b. so plug in that value into the equation and remember the question asked for all the weights not heights which means height is constant, and solve for weight
i. {{{I=700w/H^2}}}
-> {{{25 = 700w/(68)^2}}}
-> {{{25 = 700w/4624}}}
-> {{{25*(4624/1) = (700w/4624)(4624/1)}}}
-> {{{115600 = 700w}}}
-> {{{115600/700 = 700w/700}}}
-> {{{165.14 = w}}}
c. so the weight at the limit is 165.14lbs which means that any weight under that will be in the low risk category
d. so the inequality is {{{w <= 165.14}}}