(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.