The relationship between a professional basketball player's height H (in inches) and weight W (in pounds) was modeled using two different samples of players. The resulting equations that modeled each sample are given below. W=7.46H - 371 W=7.93H - 405 a. Use each equation to predict the weight of a 6 ft 7 in. professional basketball player. For the first model the weight is 218 pounds. For the second model the weight is 221 pounds. (Round to the nearest pound as needed.) b. According to each model, what change in weight is associated with a 1-in. increase in height? For the first model the increase is 7.46 lb. For the second model the increase is 7.93 Ib. (Type an integer or decimal rounded to two decimal places as needed.) c. Determine the weight and height where the two models agree. Ib. The weight is The height is in. (Do not round until the final answer. Then round to the nearest integer as needed.)
The relationship between a professional basketball player's height H (in inches) and weight W (in pounds) was modeled using two different samples of players. The resulting equations that modeled each sample are given below. W=7.46H - 371 W=7.93H - 405 a. Use each equation to predict the weight of a 6 ft 7 in. professional basketball player. For the first model the weight is 218 pounds. For the second model the weight is 221 pounds. (Round to the nearest pound as needed.) b. According to each model, what change in weight is associated with a 1-in. increase in height? For the first model the increase is 7.46 lb. For the second model the increase is 7.93 Ib. (Type an integer or decimal rounded to two decimal places as needed.) c. Determine the weight and height where the two models agree. Ib. The weight is The height is in. (Do not round until the final answer. Then round to the nearest integer as needed.)
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 12P
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![The relationship between a professional basketball player's height H (in inches) and weight W (in pounds) was modeled using two different samples of players. The resulting equations that modeled each sample are given below.
W = 7.46H – 371
W= 7.93H - 405
a. Use each equation to predict the weight of a 6 ft 7 in. professional basketball player.
For the first model the weight is 218 pounds.
For the second model the weight is 221 pounds.
(Round to the nearest pound as needed.)
b. According to each model, what change in weight is associated with a 1-in. increase in height?
For the first model the increase is 7.46 lb.
For the second model the increase is 7.93 lb.
(Type an integer or decimal rounded to two decimal places as needed.)
c. Determine the weight and height where the two models agree.
The
is
Ib.
The height is
in.
(Do not round until the final answer. Then round to the nearest integer as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc4b4111f-0cb3-46a3-bff1-74a667fd5dd6%2Fa2cebc6a-ea91-4784-95aa-f0ac20fa3523%2Fxuxygr_processed.png&w=3840&q=75)
Transcribed Image Text:The relationship between a professional basketball player's height H (in inches) and weight W (in pounds) was modeled using two different samples of players. The resulting equations that modeled each sample are given below.
W = 7.46H – 371
W= 7.93H - 405
a. Use each equation to predict the weight of a 6 ft 7 in. professional basketball player.
For the first model the weight is 218 pounds.
For the second model the weight is 221 pounds.
(Round to the nearest pound as needed.)
b. According to each model, what change in weight is associated with a 1-in. increase in height?
For the first model the increase is 7.46 lb.
For the second model the increase is 7.93 lb.
(Type an integer or decimal rounded to two decimal places as needed.)
c. Determine the weight and height where the two models agree.
The
is
Ib.
The height is
in.
(Do not round until the final answer. Then round to the nearest integer as needed.)
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