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

The car averaged 20 miles per gallon.

Answer 1

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

First, parse the coordinates:

• At \(5\) gallons, the car traveled \(100\) miles.
• At \(10\) gallons, it traveled \(200\) miles.
• At \(15\) gallons, it traveled \(300\) miles.

The average miles per gallon can be calculated using the following formula:

\[ \text{Average miles per gallon} = \frac{\text{Total miles traveled}}{\text{Total gallons used}} \]

From the graph:

• Total miles traveled from \(0\) gallons to \(15\) gallons is \(300\) miles.
• Total gallons used is \(15\) gallons.

Now, plug in these values:

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

Therefore, the average miles per gallon is 20 miles per gallon.