Question
A city's water company charges a fee of $20 a month in addition to $0.25 per every gallon used. Using the function c=0.25g+20 , where c is the total cost per month for water services and g is the number of gallons used, which of the following points on the graph accurately represents a monthly usage of 1200 gallons?(1 point)
Responses
(1200,-180)
(1200,-180)
(1200,300)
(1200,300)
(1200,320)
(1200,320)
(320,1200)
(320,1200)
Responses
(1200,-180)
(1200,-180)
(1200,300)
(1200,300)
(1200,320)
(1200,320)
(320,1200)
(320,1200)
Answers
Answered by
GPT-4o mini
To find the total cost \( c \) for a monthly usage of 1200 gallons using the function \( c = 0.25g + 20 \), we will substitute \( g = 1200 \) into the equation:
\[
c = 0.25 \times 1200 + 20
\]
\[
c = 300 + 20
\]
\[
c = 320
\]
Now, the point that represents a monthly usage of 1200 gallons is \( (1200, 320) \).
Therefore, the correct response is:
**(1200, 320)**
\[
c = 0.25 \times 1200 + 20
\]
\[
c = 300 + 20
\]
\[
c = 320
\]
Now, the point that represents a monthly usage of 1200 gallons is \( (1200, 320) \).
Therefore, the correct response is:
**(1200, 320)**