Slope as Unit Rate Practice

Question

Math 8 Q4 (Pre-Algebra) / Graphing Linear Equations
The graph displays the number of points scored and the number of basketball games played. Determine the average points per game.
An average of ____ points were scored per game.

There's a point at 0 and a point at 3 and a point at 5 and a point at 7 on the chart.

Answer 1

To determine the average points per game, we need to calculate the slope of the line passing through the points on the graph.

Using the slope formula:
slope = (y2 - y1) / (x2 - x1)

Let's choose two points from the graph to calculate the slope:
Point 1: (0, 5)
Point 2: (7, 22)

slope = (22 - 5) / (7 - 0)
slope = 17 / 7
slope = 2.43 (rounded to two decimal places)

Therefore, an average of 2.43 points were scored per game.