What is the estimated cost to fill a 30,000 gallon pool at a rate of $3.10 per hcf?

To find the estimated cost to fill a 30,000-gallon pool at a rate of $3.10 per hundred cubic feet (hcf), it’s essential to convert gallons into hcf, as the rate is given in that unit.

One hundred cubic feet is equivalent to approximately 748 gallons. Therefore, to convert gallons to hcf, you divide the number of gallons by 748.

For a 30,000-gallon pool, the calculation would be:

30,000 gallons ÷ 748 gallons per hcf = approximately 40.1 hcf.

Now that we have the number of hcf, we can calculate the total cost. We take the number of hundred cubic feet and multiply it by the rate:

40.1 hcf × $3.10 per hcf = approximately $124.31.

Rounding to a sensible cost figure, the estimated cost to fill the pool is about $124. Thus, the selected answer is correct because it reflects the proper calculations based on the conversion and the current pricing structure given in the question.