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 used. Here, \(15000\) is the total volume of the pool (in gallons) and \(480\) is the filling rate (gallons per hour).

Step2: Interpret the formula

Using the formula \(\text{time}=\frac{\text{total volume}}{\text{rate}}\), when we divide the total volume of the pool (\(15000\) gallons) by the filling rate (\(480\) gallons per hour), we get the time required to fill the pool. So \(31.25\) represents the time (in hours) to fill the pool.

Step3: Eliminate wrong options

• Option A: The formula has nothing to do with pool repair time.
• Option B: The formula is about volume and rate, not cost.
• Option D: The formula is not for repair time but for filling time.

Answer:

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