Lost on Derivatives
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(1500) = 145
what are the units of 1500? ____
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(154) = 2400
what are the units of 154? ____
what are the units of 2400? ____
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 2800 to 2820 calories per day, then his weight will increase by approximately 0.4 pounds.
Fill in the blanks below so that the equation supports his conclusion.
f ' (________) = ________