Question

Use the image to answer the question.

An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Games and ranges from 0 to 7 in 1 unit increments. The y-axis is labeled points and ranges from 0 to 250 in increments of 50. The graph is titled Points per Game. 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 3 comma 90 right parenthesis, left parenthesis 5 comma 150 right parenthesis, and left parenthesis 7 comma 210 right parenthesis.

The graph displays the number of points scored and the number of basketball games played. Determine the average points per game.

(1 point)
An average of points were scored per game.

Answer 1

To determine the average points per game, we can use the total points scored and the total number of games played.

The points scored at each plotted point is as follows:
- At \(0\) games: \(0\) points
- At \(3\) games: \(90\) points
- At \(5\) games: \(150\) points
- At \(7\) games: \(210\) points

First, we find the total points scored after \(7\) games:

\[
0 + 90 + 150 + 210 = 450 \text{ points}
\]

Next, the total number of games played is \(7\).

Now, we can calculate the average points per game:

\[
\text{Average points per game} = \frac{\text{Total points scored}}{\text{Total games played}} = \frac{450}{7} \approx 64.29
\]

Therefore, the average points per game is approximately \(64.29\).

So, an average of **64.29** points were scored per game.