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 45 points per game.
Player B averaged more points than Player A. Player B averaged 45 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 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 80 points per game.

Answer 1

To determine which player averaged more points per game, we need to calculate the average points for both Player A and Player B based on the data provided.

For Player A:

• Games played: 0, 2, and 4.
• Points scored: 0, 40, and 80.

We can calculate the average as follows: Average points per game = (Total points) / (Total games). Total points for Player A = 0 + 40 + 80 = 120 points. Total games = 3.

Average points per game for Player A = 120 / 3 = 40 points.

For Player B:

• Games played: 0, 3, and 5.
• Points scored: 0, 45, and 75.

Total points for Player B = 0 + 45 + 75 = 120 points. Total games = 3.

Average points per game for Player B = 120 / 3 = 40 points.

Since both Player A and Player B averaged the same number of points per game, which is 40 points, none of the provided responses correctly captures this conclusion.

Therefore, the correct conclusion based on the provided information is that Player A and Player B averaged the same points per game. However, that specific option is not included in the choices listed.