At a given time the height of a person is 5 feet and it increases at a rate of 1 inch per year. The person's weight is 100 lb and it increases at a rate of 5 lb/year. (a) What is the body fattness (BMI) of the person? (b) Is the person getting slimmer? (c) Assuming that the instantaneous rate of change of BMI does not change over a year, predict the person's BMI one year from now. Recall that the BMI index is the fraction of the body weight measured in kilograms divided by the square of the body height measure in meters.
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Question

At a given time the height of a person is 5 feet and it increases at a rate of 1 inch per year. The person's weight is 100 lb and it increases at a rate of 5 lb/year. (a) What is the body fattness (BMI) of the person? (b) Is the person getting slimmer? (c) Assuming that the instantaneous rate of change of BMI does not change over a year, predict the person's BMI one year from now. Recall that the BMI index is the fraction of the body weight measured in kilograms divided by the square of the body height measure in meters.
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