Question

A city’s water company charges a fee of )29 a month in addition to a $9.25?per gallon used
Use the function c = 0.25x + 20 where c is the total cost per month for water services and x is gallons used which points on the graph accurately represents a monthly usage of 1,299 gallons

Answer 1

To find the total cost for a monthly usage of 1,299 gallons, we can use the function provided:

\[ c = 0.25x + 20 \]

In this function:

- \( c \) is the total cost per month
- \( x \) is the number of gallons used

However, it appears there's a discrepancy because the $0.25 per gallon rate is different from the $9.25 per gallon rate mentioned earlier. If we calculate using the function \( c = 0.25x + 20 \):

1. Substitute \( x = 1299 \) into the function:
\[
c = 0.25(1299) + 20
\]
\[
c = 324.75 + 20
\]
\[
c = 344.75
\]

So according to this function, the total cost for 1,299 gallons would be **$344.75**.

However, if we use the rate of $9.25 per gallon mentioned (along with a monthly fee of $29), we would calculate as follows:

1. Calculate the cost:
\[
\text{Cost} = 29 + (9.25 \times 1299)
\]
\[
\text{Cost} = 29 + 12033.75
\]
\[
\text{Cost} = 12062.75
\]

So with the company's actual charge ($29 base fee and $9.25 per gallon), the total cost would be **$12,062.75** for 1,299 gallons used.

Please clarify if the equation \( c = 0.25x + 20 \) was meant to represent a different scenario or if there's a mistake in the rates.