Nonlinear function word problem

A drug company X estimates that a person will lose 50 pounds of their weight in N months when increasing their daily consumption of a product by r%.  The model below shows this result. 

N(r) = 42/r + 1

Which of the following is true?

A. A person will lose 42 pounds in two months when increasing their daily consumption of a product by 1%

B. A person will lose 50 pounds in 43 months when increasing their daily consumption of a product by 42%

C. A person will lose 50 pounds in three months when increasing their daily consumption of a product by 21%

D. A person will lose 42 pounds in 43 months when increasing their daily consumption of a product by 42%


You must understand that N(r) represents the time needed, in months, to drop 50 pounds. This time is dependent on the person's daily product consumption percent increase r. Simply plug in each answer choice and translate the result into words. Choices (A) and (D) can be crossed out, because they do not represent 50 pounds as the target number given in the problem. Choice (B) suggests that 42/42 + 1 = 1 + 1 = 2 to equal 43, which is false. Choice (C) is correct, because 42/21 + 1 = 2 + 1 = 3, which is consistent with three months.

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