Can you tell me if I have the correct answer to this problem.
A formula to determine the area of a person’s skin in square inches is
s=15.7w^0.425 h^0.725
where w is weight in pounds and h is height in inches.
Use S to estimate the area of a person’s skin who is 65 inches tall and weighs 154 pounds. 3600.835
2753.963261
please explain how you got the answer
To determine whether your answer of 3600.835 square inches is correct, we need to substitute the given values for height (h) and weight (w) into the formula and perform the calculations.
Using the formula: s = 15.7w^0.425 * h^0.725
Given height (h) = 65 inches and weight (w) = 154 pounds
Substituting the values into the formula:
s = 15.7 * (154^0.425) * (65^0.725)
Now, let's calculate the values inside the parentheses first:
154^0.425 = approximately 17.7826
65^0.725 = approximately 34.2261
Substituting these values back into the formula:
s = 15.7 * 17.7826 * 34.2261
Now, let's multiply the values together:
s ≈ 9484.1724362
Rounding the value to three decimal places, we have:
s ≈ 9484.172
Comparing this result to your answer of 3600.835, it appears that your answer is incorrect. The correct estimated area of a person's skin, based on the given height and weight, is approximately 9484.172 square inches.