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

𝑐
=
0.25
𝑥
+
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)
Responses

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

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

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

(1,200,−180)

Answer 1

To find the total cost \( c \) for a monthly water usage of 1,200 gallons, you can substitute \( x = 1200 \) into the cost function:

\[ c = 0.25x + 20 \] \[ c = 0.25(1200) + 20 \] \[ c = 300 + 20 \] \[ c = 320 \]

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

Now, the point that accurately represents a monthly usage of 1,200 gallons and its corresponding cost is \((1200, 320)\).

However, based on the provided options, the correct response is:

(320, 1,200)

This point is conventionally represented as \((x, c)\), where \(x\) is the gallons used and \(c\) is the total cost, hence it could be read as \((1,200, 320)\) formatted based on somewhat different conventions.

In standard form \( (x, c) \):

To answer directly based on your structure:

Correct Answer: (320, 1200)