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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 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.

Answer 1

To determine the average miles per gallon, we can use the information provided in the graph.

The plotted points are:

• (0, 0)
• (5, 100)
• (10, 200)
• (15, 300)

From these points, we can see that when the car used 5 gallons of gasoline, it traveled 100 miles; when it used 10 gallons, it traveled 200 miles; and when it used 15 gallons, it traveled 300 miles.

The formula for miles per gallon (MPG) is:

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

We can use the total miles and total gallons used for the entire distance traveled:

• Total miles = 300
• Total gallons = 15

Now we can calculate the average miles per gallon:

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

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

The correct response is:

• The car averaged 20 miles per gallon.