Question

jaren is going to fill up his pool after he has completed needed pool repairs. his pool will hold 15,000 gallons of water and fills at 480 gallons per hour.
the following equation is written to represent the situation. 15,000 ÷ 480 = 31.25
which of the following best explains the meaning of 31.25?
a jaren is going to have to wait for 31.25 hours to complete his pool repairs.
b jaren is going to have to spend $31.25 on pool repairs.
c it will take 31.25 hours to fill the pool after jaren has repaired it.
d the repairs will take 31.25 hours to complete.

Explanation:

Step1: Analyze the formula

The formula \(15000\div480 = 31.25\) is a division of total volume (15000 gallons) by filling rate (480 gallons per hour).

Step2: Interpret the formula

In the context of filling a pool, when we divide the total capacity of the pool (total work - volume of water) by the rate at which it is being filled (gallons per hour), we get the time taken to fill the pool. So, 31.25 represents the time (in hours) to fill the 15000 - gallon pool at a rate of 480 gallons per hour.

Step3: Check each option

• Option A: The formula has nothing to do with pool repair time. The problem states pool repairs are already completed.
• Option B: The formula involves volume and rate (gallons and gallons per hour), not money.
• Option C: Correct as per the formula interpretation (time to fill the pool).
• Option D: The formula is about filling the pool, not repairing it.

Answer:

C. It will take 31.25 hours to fill the pool after Jaren has repaired it.