Question

One estimate for the ideal body weight of a woman is shown below. Use this information to answer parts (A) through (D). 58 kg + 1.9 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 = (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 1.9 inches per kilogram. B. The rate of change of weight with respect to height is 1.9 kilograms per inch. C. The rate of change of weight with respect to height is 58 kilogram per inch. D. The rate of change of weight with respect to height is 58 inches per kilogram. (C) If a woman is 5'5" tall, what does the model predict her weight to be? w = kg (D) If a woman's predicted weight is 70 kilograms, what is her height? h ? 5 feet and inches (Round to one decimal place as needed.)

          One estimate for the ideal body weight of a woman is shown below. Use this information to answer parts (A) through (D).

58 kg + 1.9 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 =
(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 1.9 inches per kilogram.
B. The rate of change of weight with respect to height is 1.9 kilograms per inch.
C. The rate of change of weight with respect to height is 58 kilogram per inch.
D. The rate of change of weight with respect to height is 58 inches per kilogram.

(C) If a woman is 5'5" tall, what does the model predict her weight to be?

w = kg

(D) If a woman's predicted weight is 70 kilograms, what is her height?

h ? 5 feet and inches
(Round to one decimal place as needed.)

Show more…

One estimate for the ideal body weight of a woman is shown below. Use this information to answer parts (A) through (D).

58 kg + 1.9 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 =
(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 1.9 inches per kilogram.
B. The rate of change of weight with respect to height is 1.9 kilograms per inch.
C. The rate of change of weight with respect to height is 58 kilogram per inch.
D. The rate of change of weight with respect to height is 58 inches per kilogram.

(C) If a woman is 5'5" tall, what does the model predict her weight to be?

w = kg

(D) If a woman's predicted weight is 70 kilograms, what is her height?

h ? 5 feet and inches
(Round to one decimal place as needed.)

Added by Eric S.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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Solved by Expert Benjamin Densmore

09/28/2022

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One estimate for the ideal body weight of a woman is shown below. Use this information to answer parts (A) through (D). 58 kg + 1.9 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 = (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 1.9 inches per kilogram. B. The rate of change of weight with respect to height is 1.9 kilograms per inch. C. The rate of change of weight with respect to height is 58 kilogram per inch. D. The rate of change of weight with respect to height is 58 inches per kilogram. (C) If a woman is 5'5" tall, what does the model predict her weight to be? w = kg (D) If a woman's predicted weight is 70 kilograms, what is her height? h ≈ 5 feet and inches (Round to one decimal place as needed.)

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Transcript

00:02 Okay, in this problem, we have to write a function that models this 58 kilograms plus 1 .9 kilograms for every inch over 5 feet.

00:11 All right, so what we're going to do is we're going to say that our weight, w, right? that's what we're saying, w is weight, is going to equal 58 kilograms, right? so 58 kilograms and then plus 1 .9 kilograms, 1 .9 kilograms for every inch, h above 5 feet.

00:32 All right, so if that's going to be our w, so that's part a, then in part b we're saying the rate of change, well, the rate of change is going to be the number that's in front of our variable, our independent variable.

00:42 All right, so we're going to say that the rate of change is 1 .9.

00:46 That is the rate of change of weight with respect to height is 1 .9 kilograms per inch.

00:54 All right, it's 1 .9 kilograms for every inch.

00:58 Okay, so kilograms 1 .9 kilograms per inch.

01:03 Okay.

01:04 Now, now number c is, if a woman is 5, 5, then what does the model predict? okay, so we're actually going to erase this.

01:12 So we're giving her height.

01:15 So that means five inches above five feet.

01:19 So that's going to mean that my age is going to equal five.

01:21 So in this case, the w is going to equal 58.

01:24 Plus 1 .9 times 5.

01:27 So i'm just going to do 1 .9 times 5 in my phone calculator.

01:30 1 .9 times 5.

01:32 It's going to give me 9 .5.

01:33 So this is 58 plus, oh, that very little looks like an 8.

01:37 There we go, 58 plus 9 .5...

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