posted by cheyanne marie on .
For a person of height h (in inches), a healthy weight W (in pounds) is one that satisfies this system of inequalities:
W is greater than or equal to (19h^2)/703 and W is less than or equal to (25h^2)/703
Graph the system for 0 is less than or equal to h which is less than or equal to 80. What is the range of healthy weights for a person 67 inches tall? **Note** ^ means "to the power of."
19h^2/703 <= w <= 25h^2/703
If h=67, we have
121.3 <= w <= 159.6
Personally, I think that the formula is bogus, even in principle, since volume goes up as the cube of the height, not the square.