Question

Question

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

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

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

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

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

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

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

Thus, the total cost for a monthly usage of 1,200 gallons is \( c = 320 \).

The point that accurately represents a monthly usage of 1,200 gallons is \( (1200, 320) \).

So the correct response (formatted correctly) is:

(1200, 320).