A formula for the relationship between weight and blood pressure in children is

Question

A formula for the relationship between weight and blood pressure in children is given by the formula below where P(x) is measured in millimeters of mercury and x is measured in pounds. Use the formula to answer the questions. P(x) = 14.9(8t In x) 10 x 100 What is the rate of change of blood pressure with respect to weight at the 60-pound weight level? The rate of change at the 60-pound weight level is approximately mm/pound. (Do not round until the final answer. Then round to the nearest hundredth as needed.) What is the rate of change of blood pressure with respect to weight at the 90-pound weight level? The rate of change at the 90-pound weight level is approximately mm/pound. (Do not round until the final answer. Then round to the nearest hundredth as needed.)

Explanation / Answer

P = 14.9(8+ lnx) dP/dx = 14.9/x a> at 60 pound, dP/dx = 14.9/60 = 0.25 mm/pound b> at 90 pound, dP/dx = 14.9/90 = 0.17 mm/pound

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