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 the gallons used, which of the following points on the graph accurately represents a monthly usage of 1,200 gallons?(1 point)
Responses

(1,200, 300)
(1,200, 300)

(1,200, −180)
(1,200, −180)

(1,200, 320)
(1,200, 320)

(320, 1,200)
(320, 1,200)

Answer 1

To determine the total cost \( c \) for a monthly usage of 1,200 gallons, we can substitute \( x = 1200 \) into the function \( c = 0.25x + 20 \).

Calculating it step by step:

1. Substitute \( x = 1200 \) into the equation: \[ c = 0.25(1200) + 20 \]

2. Calculate \( 0.25 \times 1200 \): \[ 0.25 \times 1200 = 300 \]

3. Now add the fixed fee of $20: \[ c = 300 + 20 = 320 \]

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

The point that accurately represents this usage on the graph is \( (1200, 320) \).

None of the provided options are explicitly written as \( (1200, 320) \), but based on the context, the correct response should be equivalent to this calculation, which means the correct one is:

(1,200, 320).