slope as unite rate quick check
use the image to answer the question
player a -points per games
(0,0), (2,40), (4,80)
player b- points per games
(0,0), (3,45),(5,75)
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.
player a average more points than player b. player a averaged 20 points per game.
pplayer b averaged more points than player a. player b averaged 75 points per game.
player a averaged more points player b. player a averaged 80 points per game.
player b averaged more than player a . player b averaged 45 points per game.
The correct answer is: Player A averaged more points than Player B. Player A averaged 80 points per game, while Player B averaged 45 points per game.
To determine which player averaged more points per game, we need to find the slope of the line representing the average points per game for each player.
For player A:
We have two points: (0,0) and (4,80)
To find the slope, we use the formula: slope = (y2 - y1) / (x2 - x1)
Using the points, (0,0) and (4,80), the slope is (80-0)/(4-0) = 80/4 = 20
So, player A averaged 20 points per game.
For player B:
We have two points: (0,0) and (5,75)
To find the slope, we use the formula: slope = (y2 - y1) / (x2 - x1)
Using the points, (0,0) and (5,75), the slope is (75-0)/(5-0) = 75/5 = 15
So, player B averaged 15 points per game.
Therefore, player A averaged more points than player B. Player A averaged 20 points per game.
To determine which player averaged more points per game, we need to calculate the slopes (unit rates) for each player.
For player A:
Using the points (0,0) and (4,80), the change in points is 80 - 0 = 80, and the change in games is 4 - 0 = 4.
Therefore, the slope (unit rate) for player A is 80/4 = 20 points per game.
For player B:
Using the points (0,0) and (5,75), the change in points is 75 - 0 = 75, and the change in games is 5 - 0 = 5.
Therefore, the slope (unit rate) for player B is 75/5 = 15 points per game.
Comparing the slopes, we can see that player A averaged more points per game, with a slope of 20 points per game. Therefore, the correct answer is: "Player A averaged more points than player B. Player A averaged 20 points per game."