Slope as Unit Rate Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items
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 graph displays the number of points scored and the number of basketball games played. Determine the average points per game.
(1 point)
To find the average points per game, divide the total number of points by the total number of games.
The total number of points is 210.
The total number of games is 7.
So, the average points per game is 210 ÷ 7 = 30.
Therefore, the average points per game is 30.
To determine the average points per game, we need to find the slope of the line connecting the plotted points on the graph. The slope represents the rate of change of the points per game.
We can use the formula for slope: slope = (change in y) / (change in x).
The coordinates of the plotted points are:
(0, 0)
(3, 90)
(5, 150)
(7, 210)
The change in y (points) is 210 - 0 = 210.
The change in x (games) is 7 - 0 = 7.
Therefore, the average points per game is:
slope = (change in y) / (change in x)
slope = 210 / 7
slope = 30
The average points per game is 30.