The table shows the metabolic rate of a typical 18 to 30 year old male according to his weight. Metabolic Rate (for 18- to 30-year-old men) Metabolic Rate, m (kilocalories/day) Weight, x (pounds) 88 1291 110 1444 125 1551 140 1658 155 1750 170 1857 185 1964 200 2071 (a) Find a linear model for the metabolic rate of a typical 18- to 30-year-old male. (Round all numerical values to three decimal places.) kilocalories/day is the metabolic rate of a typical 18- to 30-year-old male who weighs x pounds. 88 m(x) 200 x (b) Write the derivative model for the formula in part (a). (Round all numerical values to three decimal places.) m '(x) kilocalories/day per pound is the rate of change in the metabolic rate of a typical 18- to 30-year-old male who weighs x pounds. 88 x 200 (c) Write a sentence of interpretation for the derivative of the metabolic rate model The metabolic rate of a typical 18- to 30- year old male isSelect by approximately kilocalories/day per pound regardless of body-weight.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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The table shows the metabolic rate of a typical 18 to 30 year old male according to his weight.
Metabolic Rate (for 18- to 30-year-old men)
Metabolic Rate, m
(kilocalories/day)
Weight, x
(pounds)
88
1291
110
1444
125
1551
140
1658
155
1750
170
1857
185
1964
200
2071
(a) Find a linear model for the metabolic rate of a typical 18- to 30-year-old male. (Round all numerical values to three decimal places.)
kilocalories/day is the metabolic rate of a typical 18- to 30-year-old male who weighs x pounds. 88
m(x)
200
x
(b) Write the derivative model for the formula in part (a). (Round all numerical values to three decimal places.)
m '(x)
kilocalories/day per pound is the rate of change in the metabolic rate of a typical 18- to 30-year-old male who weighs x pounds. 88 x
200
(c) Write a sentence of interpretation for the derivative of the metabolic rate model
The metabolic rate of a typical 18- to 30- year old male isSelect
by approximately
kilocalories/day per pound regardless of body-weight.
Transcribed Image Text:The table shows the metabolic rate of a typical 18 to 30 year old male according to his weight. Metabolic Rate (for 18- to 30-year-old men) Metabolic Rate, m (kilocalories/day) Weight, x (pounds) 88 1291 110 1444 125 1551 140 1658 155 1750 170 1857 185 1964 200 2071 (a) Find a linear model for the metabolic rate of a typical 18- to 30-year-old male. (Round all numerical values to three decimal places.) kilocalories/day is the metabolic rate of a typical 18- to 30-year-old male who weighs x pounds. 88 m(x) 200 x (b) Write the derivative model for the formula in part (a). (Round all numerical values to three decimal places.) m '(x) kilocalories/day per pound is the rate of change in the metabolic rate of a typical 18- to 30-year-old male who weighs x pounds. 88 x 200 (c) Write a sentence of interpretation for the derivative of the metabolic rate model The metabolic rate of a typical 18- to 30- year old male isSelect by approximately kilocalories/day per pound regardless of body-weight.
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