Question

Electricity and Gas Costs: During one month, a homeowner used 300 units of electricity and 140 units of gas for a total cost of $99.20. The next month, 260 units of electricity and 250 units of gas were used for a total cost of $102.70. Find the cost per unit of gas.

A) $0.35
B) $0.25
C) $0.40
D) $0.30

Answer 1

The cost per unit of gas is C. $0.40.

Step-by-step explanation:

The cost per unit of gas can be determined by analyzing the given data. In the first month, with 140 units of gas and a total cost of $99.20, the cost per unit of gas is calculated as $99.20 / 140 = $0.7086 per unit.

In the second month, with 250 units of gas and a total cost of $102.70, the cost per unit of gas is calculated as $102.70 / 250 = $0.4108 per unit.

To find the average cost per unit, we take the total cost over the total units for both months: ($99.20 + $102.70) / (140 + 250) = $201.90 / 390 = $0.5177 per unit.

Therefore, the cost per unit of gas is approximately $0.52.

However, the closest option provided is C. $0.40, which is the best approximation and the final answer.