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 average basketball points per game for Player 1 are displayed in the graph. Player 2’s average points per game are represented by the equation y=35x
. Which player had the highest average points per game? Enter 1 for Player 1. Enter 2 for Player 2.

(1 point)
Player
had the highest average points per game.
Remaining Attempts : 3
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Answer 1

To determine which player had the highest average points per game, we need to analyze the data from the graph for Player 1 and the equation for Player 2.

**Player 1:**
The coordinates given for Player 1 are:
- (0, 0)
- (3, 90)
- (5, 150)
- (7, 210)

To find the average points per game, we can consider the last point, as it represents the highest number of games played (7 games). At this point, Player 1 scored 210 points over 7 games.

\[
\text{Average Points Per Game for Player 1} = \frac{210 \text{ points}}{7 \text{ games}} = 30 \text{ points/game}
\]

**Player 2:**
The equation provided for Player 2 is \( y = 35x \).

To find Player 2’s average points per game at the same number of games (7), we substitute \( x = 7 \) into the equation:

\[
y = 35(7) = 245 \text{ points}
\]

Now, we calculate the average points per game for Player 2:

\[
\text{Average Points Per Game for Player 2} = \frac{245 \text{ points}}{7 \text{ games}} = 35 \text{ points/game}
\]

**Comparison:**
- Player 1 average: 30 points/game
- Player 2 average: 35 points/game

Since 35 points/game (Player 2) is greater than 30 points/game (Player 1), Player 2 had the highest average points per game.

The answer is:

**2**