According to the Center of Science in the Public Interest, the maximum healthy weight for a person who is 5 feet 5 inches tall is 150 pounds, and the maximum healthy weight for someone 6 feet 3 inches tall is 200 pounds. The relationship between weight and height here is linear.
(a) Find a linear equation that gives the maximum healthy weight y for a person whose height is x inches over 4 feet 10 inches. (Thus x = 0 corresponds to 4 feet 10 inches, x = 2 to 5 feet, etc.)
(b) What is the maximum healthy weight for a person whose height is 5 feet? 6 feet?
(c) How tall is a person who is at a maximum healthy weight of 220 pounds?
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