The city’s water company charges a fee of $20 a month in addition to a $0.25 per every gallon used. Using the function c=0.25x+20

Question

, where c is the total cost per month for water services and x is gallons used, which of the following points on the graph accurately represents a monthly usage of 1,200 gallons?(1 point)
Responses

(320,1,200)

left parenthesis 320 comma 1,200 right parenthesis
(1,200,−180)
left parenthesis 1,200 comma negative 180 right parenthesis
(1,200,300)
left parenthesis 1,200 comma 300 right parenthesis
(1,200,320)

Answer 1

To find the point that represents a monthly usage of 1,200 gallons using the cost function \(c = 0.25x + 20\), we need to calculate the total cost \(c\) for \(x = 1,200\) gallons.

Substituting \(x = 1,200\) into the function:

\[ c = 0.25(1200) + 20 \]

Calculating \(0.25 \times 1200\):

\[ 0.25 \times 1200 = 300 \]

Now, adding the fixed monthly fee:

\[ c = 300 + 20 = 320 \]

The total cost for using 1,200 gallons is \(320\).

Thus, the correct point on the graph that represents this usage is \((1,200, 320)\).

The answer is:

(1,200, 320).