Question

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

Answer 1

The correct answer 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.

Answer 2

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.