A person’s weight depends on both the number of caloriesconsumed and the energy used. Moreover, the amount of energyused depends on a person’s weight—the average amount of energyused by a person is 17.5 calories per pound per day. So, the moreweight a person loses, the less energy a person uses (assuming thatthe person maintains a constant level of activity). An equation thatcan be used to model weight loss isdw / dt =  C 3500  -17.5 /3500 w where w is the person’s weight (in pounds), t is the time in days,and C is the constant daily calorie consumption Consider a person who weighs 180 pounds and begins a diet of2500 calories per day. How long will it take the person to lose10 pounds? How long will it take the person to lose 35 pounds?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A person’s weight depends on both the number of calories
consumed and the energy used. Moreover, the amount of energy
used depends on a person’s weight—the average amount of energy
used by a person is 17.5 calories per pound per day. So, the more
weight a person loses, the less energy a person uses (assuming that
the person maintains a constant level of activity). An equation that
can be used to model weight loss is
dw / dt =  C 3500  -17.5 /3500 w

where w is the person’s weight (in pounds), t is the time in days,
and C is the constant daily calorie consumption

Consider a person who weighs 180 pounds and begins a diet of
2500 calories per day. How long will it take the person to lose
10 pounds? How long will it take the person to lose 35 pounds?

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