unit 3 lesson 5
slope as unit rate practice
points per game
use the image to answer the question
the graph displays the number of points scored and the number and the number of basketball games played. determine the average points per game.
(0,0), (3,90), (5,150), (7,210)
an average of _ points were scored per game
To find the average points per game, we need to calculate the slope or rate of change between any two points on the graph.
Let's take the points (0,0) and (7,210) to calculate the average:
Slope = (change in y) / (change in x)
Slope = (210 - 0) / (7 - 0)
Slope = 210 / 7
Therefore, the average points per game is 30.
To determine the average points per game, you need to calculate the slope of the line connecting any two points on the graph. The slope represents the change in the vertical axis (points scored) per unit change in the horizontal axis (games played).
Let's take two points: (3,90) and (7,210).
Step 1: Calculate the change in the vertical axis (points scored): 210 - 90 = 120.
Step 2: Calculate the change in the horizontal axis (games played): 7 - 3 = 4.
Step 3: Calculate the slope: slope = change in points / change in games = 120 / 4 = 30.
Therefore, the average points per game is 30.
To determine the average points per game, we need to calculate the slope, which represents the rate of change in points per game. We can use the formula for calculating slope:
slope = (y2 - y1) / (x2 - x1)
Let's calculate the slope using two points on the graph:
(0,0) and (7,210)
slope = (210 - 0) / (7 - 0)
= 210 / 7
= 30
Therefore, an average of 30 points were scored per game.