Question

A rope stretches directly depending on the load it must carry. A load of 8 pounds stretches the rope 9.6 inches. If a rope stretches 6 inches, then it is holding a load of_____.

Answer 1

Answer:

Step-by-step explanation:  Given that a rope stretches directly depending on the load it must carry. A load of 8 pounds stretches the rope 9.6 inches.

If the rope stretches 6 inches, then we are to find the load that is it is holding.

We will be using UNITARY method to solve this problem

When the rope is stretched by 9.6 inches, then the amount of load it is holding = 8 pounds.

So, when the rope is stretched by 1 inch, then the amount of load it is holding is

$\dfrac{8}{9.6}~\textup{pounds}.$

Therefore, when the rope is stretched by 6 inches, then the amount of load it is holding is given by

$\dfrac{8}{9.6}\times 6=\dfrac{8}{1.6}=5~\textup{pounds}.$

Thus, the complete statement is

If the rope stretches 6 inches, then it is holding a load of 5 pounds.

Answer 2

To find this answer, you need to see how the proportions of the ropes relate. So, from 9.6 inches to 6 inches, 9.6 is 1.6 times greater than 6. We use 1.6, and divide 8 by the value to get 5 inches. Hope this helped