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Answer :
Answer:
c
Step-by-step explanation:
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Rewritten by : Barada
First we need to understand that if the length of a paper clip chain is directly proportional to the number of paper clips, then the ratio between the length of the chain and the number of paper clips is constant. In simpler terms, for a certain number of paper clips, there is a certain length of chain. If we increase or decrease the number of paper clips, the length of chain will increase or decrease respectively by the same factor.
Start by establishing the constant ratio from the given lengths and paper clip numbers. According to the problem statement, we know that the length of a chain with 59 paper clips is 88.5 inches. So, we can express this ratio as:
ratio = length of the initial chain / number of clips in the initial chain
Substitute the given values in:
ratio = 88.5 inches / 59 paper clips
After performing the division, we find that the ratio comes to 1.5 inches per paper clip. This means that for each paper clip in our chain, it contributes 1.5 inches to the total length of the chain.
Now, we can figure out the length of the chain with 15 paper clips. To do this, we multiply the number of paper clips we want by our constant ratio:
length_wanted = ratio * number of clips in the wanted chain
Plugging in our numbers gives:
length_wanted = 1.5 inches/paper clip * 15 paper clips
After performing the multiplication, we find that a chain with 15 paper clips would be 22.5 inches long. Therefore, the correct choice is A. 22.5 inches.
