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 , 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 (1,200,300) left parenthesis 1,200 comma 300 right parenthesis (320,1,200) left parenthesis 320 comma 1,200 right parenthesis (1,200,−180) left parenthesis 1,200 comma negative 180 right parenthesis (1,200,320)

Answer 1

To determine the total cost for using 1,200 gallons of water, we can plug the value of \( x = 1200 \) into the cost function \( c = 0.25x + 20 \).

Substituting \( x \):

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

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

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

Among the provided options, this point matches with:

(1,200, 320) (though it appears to be missing in the provided options).

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