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 , 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)

Question

Responses

(320,1,200)
left parenthesis 320 comma 1,200 right parenthesis

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

(1,200,320)
left parenthesis 1,200 comma 320 right parenthesis

(1,200,−180)

Answer 1

To find the total cost for using 1,200 gallons of water, you can substitute \( x = 1200 \) into the function \( c = 0.25x + 20 \).

Calculating it step-by-step:

1. Multiply the number of gallons by the cost per gallon: \[ 0.25 \times 1200 = 300 \]

2. Add the monthly fee: \[ c = 300 + 20 = 320 \]

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

The correct point that represents this monthly usage is \((1,200, 320)\), which corresponds to the option:

(1,200, 320).