Inequality representing a healthy weight, for a 5 foot 9 inch woman.

Question

A healthy weight range for a woman is given by the following formula:

110 pounds for the first 5 feet (tall).

2-6 pounds per inch for every inch above 5 feet.

Write an inequality representing a healthy weight, w, for a 5 foot 9 inch woman.

Answer 1

To find a healthy weight, w, for a 5-foot 9-inch woman based on the question:

For the first 5 feet (tall) the weight should be 110 pounds and 2-6 pounds per inch for every inch above 5 feet.

So the inequality representing healthy weight for a 5'9" woman is:

110 + 9 * 2 < W < 110 + 9 * 6

128 < W < 164