Use the image to answer the question.

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.

Answer 1

To find the average miles per gallon (MPG), we can use the points given in the graph. The points plotted are (0, 0), (5, 100), (10, 200), and (15, 300).

1. Identify the total distance traveled in miles and the total gallons used:

   • From (0, 0) to (5, 100): 100 miles with 5 gallons.
   • From (5, 100) to (10, 200): An additional 100 miles with another 5 gallons.
   • From (10, 200) to (15, 300): An additional 100 miles with another 5 gallons.

   So the total distance traveled is: \[ 100 + 100 + 100 = 300 \text{ miles} \]

   The total gallons used is: \[ 5 + 5 + 5 = 15 \text{ gallons} \]

2. Calculate the average miles per gallon: To find the average miles per gallon, we use the formula: \[ \text{MPG} = \frac{\text{Total miles}}{\text{Total gallons}} \] Plugging in the values: \[ \text{MPG} = \frac{300 \text{ miles}}{15 \text{ gallons}} = 20 \text{ miles per gallon} \]

Therefore, the average miles per gallon is 20 MPG.