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

.

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 height h (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 form

To find W(h), we write the equation in terms of differentials and integrate both sides:

To find the value of C, we use W(80) = 287.2 lbs

Thus,

To find the weight of a person who is 5 feet, 8 inches tall you must:

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.

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Abit confused about what you mean, but i think you might be referring to slope intercept form: y = mx + bin that case b, or the y intercept is already given.(0,-1)find the slope by using the formulay2 - y1/x2 - x1the final slope will be 4/2, equivalent to 2.now your equation should look like thisy = 4/2x -1sorry if this didn’t you out!