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

(1,200,300)
left parenthesis 1,200 comma 300 right parenthesis

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

(1,200,320)

Answer 1

To find the total cost \( c \) for a monthly usage of \( x = 1,200 \) gallons, we can use the function:

\[ c = 0.25x + 20 \]

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

\[ c = 0.25(1,200) + 20 \] \[ c = 300 + 20 \] \[ c = 320 \]

So, when 1,200 gallons are used, the total cost \( c \) is $320.

In the format \((x, c)\), the point representing this information is:

\((1,200, 320)\).

Thus, the correct answer is

\((1,200, 320)\).