The cost of drilling a water well is jointly proportional to the length and diameter of the steel casing. If a 29-foot well using 3-inch casing cost $957, find the cost of a 35-foot well using 6-inch casing.
A) $2,310
B) $2,311
C) $2,313
D) $2,312
E) $2,309

Question

Quizplus · Accepted Answer

The cost is jointly proportional to the length and diameter, so we use the formula: Cost = k * length * diameter. First, find k using the given data: 957 = k * 29 * 3. Solving for k gives k = 11. Then, use k to find the cost of the new well: Cost = 11 * 35 * 6 = $2,310.

The Cost of Drilling a Water Well Is Jointly Proportional