Use the image to answer the question.

Question

An illustration shows two graphs depicting points per game for players A and B. The first graph shows points per game for player A. The horizontal axis shows games ranging from 0 to 5 in increments of 1. The vertical axis shows points ranging from 0 to 85 in increments of 5. Three data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 2 comma 40 right parenthesis, and left parenthesis 4 comma 80 right parenthesis. A line connects all the data points. The second graph shows points per game for player B. The horizontal axis shows games ranging from 0 to 6 in increments of 1. The vertical axis shows points ranging from 0 to 80 in increments of 5. Three data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 3 comma 45 right parenthesis, and left parenthesis 5 comma 75 right parenthesis. A line connects all the data points.

The average points scored playing basketball for Player A and Player B are graphed in the graphs. Determine which player averaged more points per game.

(1 point)
Responses

Player B averaged more points than Player A. Player B averaged 75 points per game.
Player B averaged more points than Player A. Player B averaged 75 points per game.

Player A averaged more points than Player B. Player A averaged 20 points per game.
Player A averaged more points than Player B. Player A averaged 20 points per game.

Player A averaged more points than Player B. Player A averaged 80 points per game.
Player A averaged more points than Player B. Player A averaged 80 points per game.

Player B averaged more points than Player A. Player B averaged 45 points per game.
Player B averaged more points than Player A. Player B averaged 45 points per game.

Answer 1

To determine which player averaged more points per game, we can look at the plotted data in the graphs.

For Player A, the points per game data points are:

• At game 0: 0 points
• At game 2: 40 points
• At game 4: 80 points

To find the average points per game for Player A, we can calculate the average of the points scored:

\[ \text{Average for Player A} = \frac{\text{Total Points}}{\text{Number of games}} = \frac{0 + 40 + 80}{3} = \frac{120}{3} = 40 \text{ points per game} \]

For Player B, the points per game data points are:

• At game 0: 0 points
• At game 3: 45 points
• At game 5: 75 points

Now we calculate the average for Player B:

\[ \text{Average for Player B} = \frac{\text{Total Points}}{\text{Number of games}} = \frac{0 + 45 + 75}{3} = \frac{120}{3} = 40 \text{ points per game} \]

Both players A and B averaged 40 points per game.

From the responses given, none of the options state that both players averaged the same points. However, comparing the provided averages:

• Player A averaged 40 points per game.
• Player B also averaged 40 points per game.

Since neither player averaged more points per game than the other, we need to state that both have the same average.

If I must choose the closest responses among the options provided, I would note that they uniformly miss stating the appropriate value. Therefore, if forced into selecting one, neither Player A nor B averaged the scores suggested (80 points, 75 points, etc.).

However, based on the values calculated, it can be clearly concluded they were equal and correct options need mention of averaging 40 points per game. If representing that in the context provided, the closest option that could be used, without exact matches, would be:

• Player B averaged more points than Player A with Player B averaging 40 points as derived from calculations which is reflected equally valid for Player A.

Since that might not exist directly, please consider verifying the source of options presented.

Ultimately, both players averaged 40 points per game—an essential insight gleaned from provided data, issues with options notwithstanding.