Question

NEED HELP ASAP 20POINTS The energy (and cost) needed to operate an air conditioner is proportional to the volume of a space that is being cooled it cost 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 answer to the nearest dollar? show work to solve

Answer 1

$1,953

Explanation:

So, we need to figure out how many times the big warehouse is actually bigger than the small one, in order to calculate the air conditioner cost for the large warehouse.

Let's say x represents the dimensions of the small warehouse, and y represents the dimensions of the large warehouse.

We have y = 2.5x, for every dimension (length, width, height)

The formula to calculate the volume of a cubic space is the following:

volume = length * width * height

Now, we don't know the exact measurements involved, but we know the large warehouse is 2.5 times bigger in every dimension, so...

volume = 2.5x * 2.5x * 2.5x = 2.5³x³ = 15.625 x³

So, the larger warehouse is 15.625 times larger than the small one. We then multiply that by the cost of cooling down the small warehouse:

cost for large warehouse = 15.625 * $125/month = $1,953.25

Rounded to the nearest dollar: $1,953