The distance a spring will stretch varies directly with how much weight is attached to the spring. If a spring stretches 6 inche

Question

3 years ago

15

The distance a spring will stretch varies directly with how much weight is attached to the spring. If a spring stretches 6 inche

s with 80 pounds attached, how far will it stretch with 55 pounds attached? Round to the nearest tenth of an inch.
A.8.7 in B.6.1 in. C.4.1 in D.5.9 in

Mathematics

2 answers:

Iteru [2.4K] · Answer 1 · 2022-03-03T12:23:05+03:00

The <em><u>correct answer</u></em> is:

C.4.1 in

Explanation:

We will use a proportion for this problem.

In the first ratio, we have 6 inches: 80 pounds. This can also be written as 6/80.

For the second ratio, we do not know the length; this is x. The weight is 55; this gives us x/55.

This makes our proportion

6/80 = x/55

Cross multiplying, we have

6(55) = 80(x)

330 = 80x

Divide both sides by 80:

330/80 = 80x/80

4.125 = x

This means the answer is 4.1.

EleoNora [17] · Answer 2 · 2022-03-03T14:30:27+03:00

The correct answer among all the other choices is C. 4.1 in. You can solve this by 6 / 80 = x / 55. Then, we will get x = 4.125. Round off to the nearest tenth of an inch so the answer is C.4.1 in. Thank you for posting your question. I hope this answer helped you. Let me know if you need more help.