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

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

(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

(1,200,300)

Answer 1

To determine the total cost for a monthly usage of 1,200 gallons using the given function $c=0.25x+20$, we substitute $x=1200$ into the equation:

$$c=0.25(1200)+20$$

Calculating $0.25\times 1200$:

$$0.25\times 1200=300$$

Now add the fixed fee:

$$c=300+20=320$$

Thus, the total cost for using 1,200 gallons of water is $320. The point that accurately represents this monthly usage is $(1,200,320)$.

From the options you provided:

• $(320,1,200)$
• $(1,200,320)$
• $(1,200,-180)$
• $(1,200,300)$

The correct answer is (1,200, 320).