If the week had one more day with a flow of 3,000 gallons, what would the new average daily flow be?

To determine the new average daily flow after adding an additional day with a flow of 3,000 gallons, it is essential to first calculate the total flow for the entire week, including the extra day.

Assuming the original flow for the previous 7 days is known, let’s denote this total flow as ( X ). The average daily flow for the initial week would be calculated as ( \frac{X}{7} ). When adding an additional day with a flow of 3,000 gallons, the total flow for the 8 days becomes ( X + 3,000 ).

Now, the new average daily flow is calculated by dividing this new total flow by 8, which is the number of days in the new period. The formula for the average daily flow now becomes:

[

\text{New Average Daily Flow} = \frac{X + 3,000}{8}

]

For the original average daily flow to remain consistent with the options provided, let’s assume the original average was calculated as follows:

If the average flow was originally 3,200 gallons per day, the total for the first 7 days would be ( 3,200 \times 7 = 22,400