A study investigating the relationship between diet and weight in adults found that the weight W of a subject, in pounds, was a function of C, the average number of calories consumed by the subject per day. (a) Give a practical interpretation of W(2080). O The average number of pounds gained by an adult due to consuming 2080 calories in a day. O An adult who weighs W(2080) pounds must eat exactly 2080 calories per day. O The weight, in pounds, of an adult who consumes an average of 2080 calories per day. OW is the average number of calories eaten by an adult in a day. (b) Choose the best practical interpretation of W' (2080) = 0.003. O If an adult increases the average number of calories consumed per day from 2080 to 2081, then the adult will gain approximately 0.003 pounds. O If an adult increases the average number of calories consumed per day by 1 calorie, then the adult will gain approximately 0.003 pounds. O The rate of change of weight is 0.003 pounds per calorie. O If an adult increases the average number of calories consumed per day from 2080 to 2081, then the adult will gain 0.003 pounds. O If C= 2080, then the slope of W is 0.003. (c) Suppose an adult consumes an average of 2080 calories per day and W' (2080) = 0.003. Approximately how much weight would an adult gain if they increased their average number of calories consumed per day by 50 pounds

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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A study investigating the relationship between diet and weight in adults found that the weight W of a subject, in pounds, was a function of C, the average number of calories consumed by the subject per day.
(a) Give a practical interpretation of W(2080).
The average number of pounds gained by an adult due to consuming 2080 calories in a day.
O An adult who weighs W(2080) pounds must eat exactly 2080 calories per day.
O The weight, in pounds, of an adult who consumes an average of 2080 calories per day.
O W is the average number of calories eaten by an adult in a day.
(b) Choose the best practical interpretation of W' (2080) = 0.003.
O If an adult increases the average number of calories consumed per day from 2080 to 2081, then the adult will gain approximately 0.003 pounds.
If an adult increases the average number of calories consumed per day by 1 calorie, then the adult will gain approximately 0.003 pounds.
The rate of change of weight is 0.003 pounds per calorie.
O If an adult increases the average number of calories consumed per day from 2080 to 2081, then the adult will gain 0.003 pounds.
O If C = 2080, then the slope of W is 0.003.
(c) Suppose an adult consumes an average of 2080 calories per day and W' (2080) = 0.003. Approximately how much weight would an adult gain if they increased their average number of calories consumed per day by 50 calories?
pounds
Transcribed Image Text:A study investigating the relationship between diet and weight in adults found that the weight W of a subject, in pounds, was a function of C, the average number of calories consumed by the subject per day. (a) Give a practical interpretation of W(2080). The average number of pounds gained by an adult due to consuming 2080 calories in a day. O An adult who weighs W(2080) pounds must eat exactly 2080 calories per day. O The weight, in pounds, of an adult who consumes an average of 2080 calories per day. O W is the average number of calories eaten by an adult in a day. (b) Choose the best practical interpretation of W' (2080) = 0.003. O If an adult increases the average number of calories consumed per day from 2080 to 2081, then the adult will gain approximately 0.003 pounds. If an adult increases the average number of calories consumed per day by 1 calorie, then the adult will gain approximately 0.003 pounds. The rate of change of weight is 0.003 pounds per calorie. O If an adult increases the average number of calories consumed per day from 2080 to 2081, then the adult will gain 0.003 pounds. O If C = 2080, then the slope of W is 0.003. (c) Suppose an adult consumes an average of 2080 calories per day and W' (2080) = 0.003. Approximately how much weight would an adult gain if they increased their average number of calories consumed per day by 50 calories? pounds
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