Solve
-An experiment was set up to find a relationship between weight and systolic blood pressure in normal children. Using hospital records for 5000 normal children,the experimenters found that the systolic blood pressure was
Given approximately by P(x)= 17.5(1 + ln x),10 ≤ x ≤ 100,where P(x)is measured in millimeters of mercury and x is measured in pounds.What is the rate of change of blood pressure with respect to weight at the 80-pound weight level?
A)0.19 mm of mercury per pound of weight gain
B)0.01 mm of mercury per pound of weight gain
C)0.22 mm of mercury per pound of weight gain
D)0.25 mm of mercury per pound of weight gain

Question

Quizplus · Accepted Answer

To find the rate of change of blood pressure with respect to weight at the 80-pound weight level, we need to take the derivative of P(x) with respect to x and evaluate it at x=80. Taking the derivative, we get:
P'(x) = 17.5(1/x)
Evaluating at x=80, we get:
P'(80) = 17.5(1/80) = 0.21875
Therefore, the rate of change of blood pressure with respect to weight at the 80-pound weight level is 0.21875 mm of mercury per pound of weight gain, which is closest to 0.22 mm of mercury per pound of weight gain. Hence, the answer is (C).

Solve -An Experiment Was Set Up to Find a Relationship Between