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: Use the formula for time - related to rate and volume

The formula \(t=\frac{V}{r}\) (where \(t\) is time, \(V\) is volume, and \(r\) is rate) is applicable. Substituting \(V = 15000\) gallons and \(r=480\) gallons per hour, we get \(t=\frac{15000}{480}=31.25\) hours. This \(t\) represents the time to fill the pool.

Answer:

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