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

Answer: $1953

Explanation:

Given:

The scale factor is 2.5.

Since we are dealing with volume, you must cube the scale factor.

2.5^3

Now, you multiply the cubed scale factor by the daily cost of cooling the small warehouse: $125.

2.5^3 times 125 = 1953.125

Now, you round your answer (to the nearest dollar)

Your final answer is $1953.

Hope this helps!

Answer 2

The daily cost of cooling the large warehouse with the same model of air conditioner is
`\$1,953`

Explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem

The scale factor is equal to 2.5

so

The scale factor elevated to the cube is
`2.5^(3) =15.625`

To estimate the daily cost of cooling the large warehouse with the same model of air conditioner, multiply $125.00 by the scale factor elevated to the cube

so

`\$125(15.625)=\$1,953`