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) Weight, x (pounds) Metabolic Rate, m (kilocalories/day) 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.) m(x) = kilocalories/day is the metabolic rate of a typical 18- to 30-year-old male who weighs x pounds. 88 ≤ x ≤ 200 (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 is ---Select--- by approximately kilocalories/day per pound regardless of body-weight.
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) Weight, x (pounds) Metabolic Rate, m (kilocalories/day) 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.) m(x) = kilocalories/day is the metabolic rate of a typical 18- to 30-year-old male who weighs x pounds. 88 ≤ x ≤ 200 (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 is ---Select--- by approximately kilocalories/day per pound regardless of body-weight.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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)
Weight, x
(pounds)
Metabolic Rate, m
(kilocalories/day)
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.)
m(x) =
kilocalories/day is the metabolic rate of a typical 18- to 30-year-old male who weighs x pounds. 88 ≤ x ≤ 200
(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 is ---Select--- by approximately
kilocalories/day per pound regardless of body-weight.
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