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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.

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.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.4: Combining And Decomposing Functions
Problem 18E
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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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