One estimate for the ideal body weight of a woman is shown below. Use this information to answer parts (A) through (D). 50 kg + 1.6 kg for each inch over 5 feet ... (A) Find a linear model for an estimate of the ideal weight of a woman using w for ideal body weight (in kilograms) and h for height over 5 feet (in inches). w = 50 + 1.6h (Type an equation using h as the variable.) (B) Interpret the slope of the model. A. The rate of change of weight with respect to height is 50 kilogram per inch. B. The rate of change of weight with respect to height is 1.6 inches per kilogram. C. The rate of change of weight with respect to height is 1.6 kilograms per inch. D. The rate of change of weight with respect to height is 50 inches per kilogram. (C) If a woman is 5'5" tall, what does the model predict her weight to be? w = 58 kg (D) If a woman's predicted weight is 68 kilograms, what is her height? h 5 feet and inches (Round to one decimal place as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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1D

One estimate for the ideal body weight of a woman is shown below. Use this information to answer parts (A) through (D).
50 kg + 1.6 kg for each inch over 5 feet
(A) Find a linear model for an estimate of the ideal weight of a woman using w for ideal body weight (in kilograms) and h for
height over 5 feet (in inches).
w = 50 + 1.6h
(Type an equation using h as the variable.)
(B) Interpret the slope of the model.
A. The rate of change of weight with respect to height is 50 kilogram per inch.
B. The rate of change of weight with respect to height is 1.6 inches per kilogram.
C. The rate of change of weight with respect to height is 1.6 kilograms per inch.
D. The rate of change of weight with respect to height is 50 inches per kilogram.
(C) If a woman is 5'5" tall, what does the model predict her weight to be?
w = 58 kg
(D) If a woman's predicted weight is 68 kilograms, what is her height?
hx 5 feet and
inches
(Round to one decimal place as needed.)
Transcribed Image Text:One estimate for the ideal body weight of a woman is shown below. Use this information to answer parts (A) through (D). 50 kg + 1.6 kg for each inch over 5 feet (A) Find a linear model for an estimate of the ideal weight of a woman using w for ideal body weight (in kilograms) and h for height over 5 feet (in inches). w = 50 + 1.6h (Type an equation using h as the variable.) (B) Interpret the slope of the model. A. The rate of change of weight with respect to height is 50 kilogram per inch. B. The rate of change of weight with respect to height is 1.6 inches per kilogram. C. The rate of change of weight with respect to height is 1.6 kilograms per inch. D. The rate of change of weight with respect to height is 50 inches per kilogram. (C) If a woman is 5'5" tall, what does the model predict her weight to be? w = 58 kg (D) If a woman's predicted weight is 68 kilograms, what is her height? hx 5 feet and inches (Round to one decimal place as needed.)
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