## For an average person, the rate of change of weight W (in pounds) with respect to height h (in inches) is given approximately by the foll

Question

For an average person, the rate of change of weight W (in pounds) with respect to height h (in inches) is given approximately by the following formula.

dW/dh=0.0018h^2

Find W(h) if W(80)equals=287.2 pounds. Also, find the weight of a person who is 5 feet, 8 inches tall.

W(h)=_______

A Person who is 5 feet, 8 inches tall weighs about _______ lbs

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2021-10-11T18:40:30+00:00
2021-10-11T18:40:30+00:00 1 Answer
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## Answers ( )

Answer:.

A Person who is 5 feet, 8 inches tall weighs about 168.7 lbs.

Step-by-step explanation:We know the rate of change of weight

W (in pounds) with respect to heighth (in inches)This is a

separable equation. A separable equation is a first-order differential equation in which the expression for can be factored as a function of x times a function of y. In other words, it can be written in the formTo find the value of C, we use W(80) = 287.2 lbs

Thus,

Convert the 5 feet into inches

Add 60 in and 8 in, to find the total height of the person

h = 68 in

Substitute h = 68 in into to find the weight:

A Person who is 5 feet, 8 inches tall weighs about 168.7 lbs.