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.

(1 point)
Responses

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.
The car averaged 15 miles per gallon.

The car averaged 20 miles per gallon.

Answer 1

To determine the average miles per gallon from the graph, we can look at the coordinates of the points given.

The coordinates indicate:

• At 0 gallons of gas, the car travels 0 miles.
• At 5 gallons, the car travels 100 miles.
• At 10 gallons, the car travels 200 miles.
• At 15 gallons, the car travels 300 miles.

To find the average miles per gallon, we can use the last point: 15 gallons for 300 miles.

Average miles per gallon (MPG) is calculated using the formula:

\[ \text{MPG} = \frac{\text{Total Miles}}{\text{Total Gallons}} \]

Substituting the values:

\[ \text{MPG} = \frac{300 \text{ miles}}{15 \text{ gallons}} = 20 \text{ miles per gallon} \]

Thus, the correct response is:

The car averaged 20 miles per gallon.