Answer:
0.41 tons can be lifted
Explanation:
The diameter d in inches of a rope needed to lift a weight of w tons is given by the formula d = 15w π .
This means that the diameter of the rope varies with the weight to be lifted. d is the dependent variable
π is a constant which is approximately 3.142
To determine the amount of weight that can be lifted with a rope with a diameter of 19.5 in, we substitute d = 19.5 into the given equation. It becomes
19.5 = = 15w ×3.142
19.5 = 47.13w
w= 19.5/47.13 = 0.41 tons