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.
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To determine which player had the highest average points per game, we need to compare the values of the y-coordinate (points) for the same value of the x-coordinate (games) for each player.
For Player 1, the points per game values are as follows:
(0, 0)
(3, 90)
(5, 150)
(7, 210)
For Player 2, the points per game values are given by the equation y=35x.
Comparing the values for the same x-coordinate (games), we can see that Player 1 consistently has higher points per game than Player 2. Therefore, Player 1 had the highest average points per game. Enter 1 for Player 1.
To determine which player had the highest average points per game, we need to compare their average points.
For Player 1, the average points per game can be determined by looking at the points plotted on the graph. We can see that Player 1's average points per game increases with the number of games played. The coordinates for Player 1's points are (0, 0), (3, 90), (5, 150), and (7, 210). The average points per game for Player 1 can be calculated by finding the slope of the line connecting these points.
Slope = (change in y) / (change in x)
Slope = (210 - 0) / (7 - 0)
Slope = 210 / 7
Slope = 30
So, the average points per game for Player 1 is 30.
For Player 2, the average points per game is represented by the equation y = 35x. This means that for every game played (x), Player 2's average points per game (y) will be 35 times the number of games played.
Comparing the average points per game for both players:
Player 1: 30
Player 2: y = 35x
From this comparison, we can see that Player 2 has a higher average points per game as the equation y = 35x indicates that for each game played, the average points per game will be 35 times the number of games played.
Therefore, Player 2 had the highest average points per game.
Player 2 had the highest average points per game. Enter 2 for Player 2.