Use the image to answer the question.

An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Gallon and ranges from 0 to 20 in 5 unit increments. The y-axis is labeled Miles and ranges from 0 to 400 in 100 unit increments. The graph is titled Miles per Gallon. A line connects four points plotted on the graph. The coordinates of the plotted points are left parenthesis 0 comma 0 right parenthesis, left parenthesis 5 comma 100 right parenthesis, left parenthesis 10 comma 200 right parenthesis, and left parenthesis 15 comma 300 right parenthesis.

The graph displays the number of miles a car traveled and the gallons of gasoline used. Determine the average miles per gallon.

(1 point)
Responses

The car averaged 20 miles per gallon.
The car averaged 20 miles per gallon.

The car averaged 4,500 miles per gallon.
The car averaged 4,500 miles per gallon.

The car averaged 300 miles per gallon.
The car averaged 300 miles per gallon.

The car averaged 15 miles per gallon.

1 answer

To determine the average miles per gallon from the data in the graph, we can use the coordinates provided. The key points show the relationship between gallons of gasoline used and miles traveled.

Looking at the points:

  1. At (0, 0): 0 gallons used, 0 miles traveled.
  2. At (5, 100): 5 gallons used, 100 miles traveled.
  3. At (10, 200): 10 gallons used, 200 miles traveled.
  4. At (15, 300): 15 gallons used, 300 miles traveled.

To find the average miles per gallon, we can take the maximum miles traveled and divide by the maximum gallons used.

Using the point (15, 300):

  • Total miles = 300 miles
  • Total gallons = 15 gallons

Average miles per gallon = Total miles / Total gallons

Average miles per gallon = 300 miles / 15 gallons = 20 miles per gallon.

Therefore, the correct response is:

The car averaged 20 miles per gallon.