Question

On average during the summer, a 30,000 ft3 costs $7 per day to cool, while a 25,000 ft house costs $6.60 per day to cool. Which house costs less per cubic foot to cool?

a) The 30,000 ft^3 house
b) The 25,000 ft^3 house
c) Both cost the same per cubic foot
d) Insufficient information to determine

Answer 1

The 30,000 ft3 house costs $0.000233 per cubic foot to cool, while the 25,000 ft3 house costs $0.000264 per cubic foot. Therefore, the 30,000 ft3 house is more cost-effective per cubic foot.

Step-by-step explanation:

To determine which house costs less per cubic foot to cool, we need to calculate the cost per cubic foot for each house and then compare them. For the 30,000 ft3 house, the cost per day is $7. To find the cost per cubic foot, we divide the total cost by the number of cubic feet:

Cost per cubic foot = Total cost / Total cubic feet
Cost per cubic foot (30,000 ft3 house) = $7 / 30,000 ft3 = $0.000233 per ft3

For the 25,000 ft3 house, the cost per day is $6.60. Again, we divide the total cost by the number of cubic feet:

Cost per cubic foot (25,000 ft3 house) = $6.60 / 25,000 ft3 = $0.000264 per ft3

Comparing the two costs per cubic foot, the 30,000 ft3 house costs less to cool per cubic foot than the 25,000 ft3 house. Therefore, the correct answer is (a) The 30,000 ft3 house.