Final answer:
The cost of a 120-foot rope would be $168.
Step-by-step explanation:
The cost of a sailing rope is directly proportional to the length of the rope purchased. This means that as the length of rope increases, the cost also increases. To find the cost of a 120-foot rope, we can set up a proportion using the given information:
80 feet is to $112 as 120 feet is to x.
Using cross-multiplication, we can solve for x:
80x = 112 * 120
x = (112 * 120) / 80
x = $168.