Question

The amount a spring will stretch varies directly with the amount of weight attached to the spring. If a spring stretches

2.1 inches when 80 pounds is attached, how far will it stretch when 40 pounds is attached?

Answer 1

The spring will stretch 1.05 inches.

Explanation:

The amount a spring will stretch varies directly with the amount of weight attached to the spring.

Let the spring stretches x inches when 40 pound is attached.

we get the following relation;

`(2.1)/(80) =(x)/(40)`

=>
`80x=2.1*40`

=>
`80x=84`

x = 1.05 inches

Hence, the spring will stretch 1.05 inches.

Answer 2

1.05 inches

Explanation:

As the stretch varies directly with the amount of weight it means that a decrease in weight result in a proportional decrease of stretch.