Slope as Unit Rate Practice

Question

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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)
An average of
points were scored per game.
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Answer 1

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

Using the points (0, 0) and (7, 210), we can calculate the slope using the formula:

Slope = (y2 - y1) / (x2 - x1)
Slope = (210 - 0) / (7 - 0)
Slope = 210 / 7
Slope = 30

Therefore, the average points per game is 30 points.