Question

Number 4
(Which proportion represents the problem below)

Answer 1

`\textbf{D.}\quad(43)/(n)=(17)/(100)`

Explanation:

You can start by translating the English statement to a math sentence:

17% × n = 43 . . . . . . 17% of a number is 43

To form a proportion like the answer choices, you can divide by n:

17/100 = 43/n . . . . . . matches selection D

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Of course, you know that 17% is the same as 17/100. (% is a shorthand way to write /100.)

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As a check on your answer, you can use your number sense to compare the size of n and 43. 17/100 = 43/n means that n will be larger than 43. 17/100 = n/43 means that 43 is larger than n. If 43 is a small fraction of n, then n must be larger than 43, so n/43 = 17/100 cannot be the appropriate proportion.