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 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)
left parenthesis 320 comma 1,200 right parenthesis

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

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

(1,200,300)

Answer 1

To determine which point accurately represents a monthly usage of 1,200 gallons, we can use the given cost function:

\[ c = 0.25x + 20 \]

where:

• \( c \) is the total cost,
• \( x \) is the number of gallons used.

First, let's substitute \( x = 1200 \) into the equation to find the total cost for using 1,200 gallons:

\[ c = 0.25(1200) + 20 \]

Calculating this:

\[ c = 300 + 20 \] \[ c = 320 \]

The total cost for using 1,200 gallons is $320.

Now, looking at the response options, the point that represents a monthly usage of 1,200 gallons with a total cost of $320 is:

\((1200, 320)\)

Since it appears that the listed options use the notation incorrectly with respect to the order of coordinates, we will pick the one that logically represents the relationship where the first value is the gallons and the second is the cost.

The correct point is \((1200, 320)\). However, this option is not provided verbatim among your choices, but the only option that includes these values is:

\((1,200, 320)\)

Thus, the correct answer is:

(1,200, 320)