Slope as Unit Rate Practice

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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.
Remaining Attempts : 3
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1 answer

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

From the points plotted on the graph:

  • At 0 games, 0 points are scored: (0, 0)
  • At 3 games, 90 points are scored: (3, 90)
  • At 5 games, 150 points are scored: (5, 150)
  • At 7 games, 210 points are scored: (7, 210)

To find the average, we can take the last plotted point (which gives us the total points and total number of games played) since it will give a clear average over all games.

Total points scored: 210
Total games played: 7

Now, calculate the average points per game:

Average points per game = Total points / Total games = 210 points / 7 games = 30 points per game.

So the answer is:

An average of 30 points were scored per game.