The body mass index (BMI) is a number that can be calculated for any individual by using the equation 703w h² BMI = where weight (w) is in pounds and height (h) is in inches. Use this information to complete the following. a. Calculate the BMI for a person who weighs 219 pounds and is 6'1" tall. BMI 29 (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 25.3? The person would have to lose pounds. (Round to the nearest whole number as needed.) c. For a 130-lb. female, what is the rate of change of BMI with respect to height? Hint: Take the derivative of the function f(h) = 703(130) h² The rate of change with respect to height is d. Calculate f (63). f' (63) = (Do not round until the final answer. Then round to two decimal places as needed.)

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Chapter23: Basic Calculations Of Percentages, Percents, And Rates
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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 219 pounds and is 6'1" tall.
BMI = 29 (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 25.3?
The person would have to lose
pounds.
(Round to the nearest whole number as needed.)
c. For a 130-lb. female, what is the rate of change of BMI with respect to height?
The rate of change with respect to height is.
d. Calculate f (63).
f'(63) =
(Do not round until the final answer. Then round to two decimal places as needed.)
Hint: Take the derivative of the function f(h) =
703(130)
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 219 pounds and is 6'1" tall. BMI = 29 (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 25.3? The person would have to lose pounds. (Round to the nearest whole number as needed.) c. For a 130-lb. female, what is the rate of change of BMI with respect to height? The rate of change with respect to height is. d. Calculate f (63). f'(63) = (Do not round until the final answer. Then round to two decimal places as needed.) Hint: Take the derivative of the function f(h) = 703(130) h²
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 219 pounds and is 6'1" tall.
BMI = 29 (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 25.3?
The person would have to lose pounds.
(Round to the nearest whole number as needed.)
c. For a 130-lb. female, what is the rate of change of BMI with respect to height? Hint: Take the derivative of the function f(h) =
703(130)
h²
The rate of change with respect to height is
0
d. Calculate f (63).
f'(63) =
(Do not round until the final answer. Then round to two decimal places as needed.)
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 219 pounds and is 6'1" tall. BMI = 29 (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 25.3? The person would have to lose pounds. (Round to the nearest whole number as needed.) c. For a 130-lb. female, what is the rate of change of BMI with respect to height? Hint: Take the derivative of the function f(h) = 703(130) h² The rate of change with respect to height is 0 d. Calculate f (63). f'(63) = (Do not round until the final answer. Then round to two decimal places as needed.)
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