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A model for the surface area of a human body is given by the
function
S − fsw, hd − 0.1091w0.425h0.725
where w is the weight (in pounds), h is the height (in inches),
and S is measured in square feet.
(a) Find fs160, 70d and interpret it.
(b) What is your own surface area?

Sagot :

26uffikn

(a) Finding \( S(160, 70) \)

Given:

- Weight: 160 pounds

- Height: 70 inches

We need to substitute these values into the function:

S(160, 70) = 0.1091 * 160^0.425 * 70^0.725

First, calculate each exponentiation:

160^0.425 ≈ 13.373

70^0.725 ≈ 19.881

Then, multiply these results by 0.1091:

S(160, 70) = 0.1091 * 13.373 * 19.881 ≈ 29.00

So, S(160, 70) ≈ 29.00 square feet.

Interpretation: For a person who weighs 160 pounds and is 70 inches tall, their approximate surface area is 29.00 square feet.

(b) Finding Your Own Surface Area

To calculate your own surface area, you'll need to substitute your weight (in pounds) and height (in inches) into the formula.

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