Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

The energy (and cost) needed to operate an air conditioner is proportional to the volume of the space that is being cooled. It costs ZAP Electronics about $125.00 per day to run an air conditioner in its small rectangular warehouse. The company's large warehouse, a few blocks away, is 2.5 times as long, wide, and high as the small warehouse. Estimate the daily cost of cooling the large warehouse with the same model of air conditioner. Round your answer to the nearest dollar.

(4 points)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To estimate the daily cost of cooling the large warehouse with the same model of air conditioner, we first need to calculate the volume increase between the small warehouse and the large warehouse.

Let:
- Volume of small warehouse = V_small = l * w * h
- Volume of large warehouse = V_large = 2.5l * 2.5w * 2.5h

Since the large warehouse is 2.5 times as long, wide, and high as the small warehouse, the volume increase is 2.5 * 2.5 * 2.5 = 15.625 times the volume of the small warehouse.

Therefore, the daily cost of cooling the large warehouse would be approximately $125.00 * 15.625 = $1953.13

Rounded to the nearest dollar, the estimated daily cost of cooling the large warehouse with the same model of air conditioner is $1953.