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) = 12.9(9 + ln x) 10 x 100 What is the rate of change of blood pressure with respect to weight at the 50-pound weight level? The rate of change at the 50-pound weight level is approximately .26 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 80-pound weight level? The rate of change at the 80-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(x) = 12.9 (9 + lnx)

P ' (x) = 12.9 /x

here x = 50

=> p ' (x) = 12.9 / 50

= 0.258

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