The body mass index (BMI) is a number that can be calculated for any individual by using the equation 703w h² where weight (w) is in pounds and height (h) is in inches. Use this information to complete the following. BMI = a. Calculate the BMI for a person who weighs 217 pounds and is 6'2" tall. BMI= 28 (Round to the nearest whole number as needed.) b. How much weight would the person in part a have to lose to reach a BMI of 24.9? The person would have to lose 23 pounds. (Round to the nearest whole number as needed.) c. For a 128-lb. female, what is the rate of change of BMI with respect to height? The rate of change with respect to height is Hint: Take the derivative of the function f(h) = 703(128) h²

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The body mass index (BMI) is a number that can be calculated for any individual by using the equation
703w
h²
where weight (w) is in pounds and height (h) is in inches. Use this information to complete the following.
BMI =
a. Calculate the BMI for a person who weighs 217 pounds and is 6'2" tall.
BMI= 28 (Round to the nearest whole number as needed.)
b. How much weight would the person in part a have to lose to reach a BMI of 24.9?
The person would have to lose 23 pounds.
(Round to the nearest whole number as needed.)
c. For a 128-lb. female, what is the rate of change of BMI with respect to height?
The rate of change with respect to height is
Hint: Take the derivative of the function f(h) =
703(128)
h²
Transcribed Image Text:The body mass index (BMI) is a number that can be calculated for any individual by using the equation 703w h² where weight (w) is in pounds and height (h) is in inches. Use this information to complete the following. BMI = a. Calculate the BMI for a person who weighs 217 pounds and is 6'2" tall. BMI= 28 (Round to the nearest whole number as needed.) b. How much weight would the person in part a have to lose to reach a BMI of 24.9? The person would have to lose 23 pounds. (Round to the nearest whole number as needed.) c. For a 128-lb. female, what is the rate of change of BMI with respect to height? The rate of change with respect to height is Hint: Take the derivative of the function f(h) = 703(128) h²
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