Choose answers from the following list of units: (lb, cal, day, lb/cal, cal/lb,
ID: 2889043 • Letter: C
Question
Choose answers from the following list of units: (lb, cal, day, lb/cal, cal/lb, cal/day, lb/day, day/lb, day/cal)
A laboratory study investigating the relationship between diet and weight in adult humans found that the weight of a subject, W, in pounds, was a function, W=f(c), of the average number of Calories, c, consumed by the subject in a day.
(a) In the statement f(1700)=145
what are the units of 1700?
what are the units of 145?
(b) In the statement f(2000)=0,
what are the units of 2000?
what are the units of 0?
(c) In the statement f^1(153)=2300,
what are the units of 153?
what are the units of 2300?
(d) What are the units of f'(c)=dW/dc
(e) Suppose that Sam reads about f in this study and draws the following conclusion: If Sam increases his average calorie intake from 2900 to 2930 calories per day, then his weight will increase by approximately 0.45 pounds.
Fill in the blanks below so that the equation supports his conclusion.
f'( _______) = _________
Explanation / Answer
(a) In the statement f(1700)=145
the units of 1700 are calories
the units of 145 are pounds
(b) In the statement f(2000)=0,
the units of 2000 are calories
the units of 0 are pounds per calorie
(c) In the statement f^1(153)=2300
the units of 153 are pounds
the units of 2300 are calories
(d)
the units of f'(c)=dW/dc are pounds per calorie
(e)
f '(2900) = 0.45/(2930-2900)
f '(2900) = 0.015 pounds per calorie
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