Question

To prepare for an upcoming basketball tournament, Coach Somers keeps track of the number of

points scored by each player on the team for various minutes played during the most recent five
games. The results for Matt, one of the players, are as follows: In one of game Matt scored 12
points in 20 minutes. In another game he scored 16 points in 28 minutes. Matt then scored 15
points in a game where he played a total of 24 minutes. Finally, Matt scored 18 points during a
game where he played for 25 minutes. Using x to represent the number of minutes and y to
represent the number of points scored, create a graph to represent this relation.

Answer 1

Here's what I get

Explanation:

1. Make a table containing your points.

`\begin{array}{cc}\mathbf{x} & \mathbf{y} \\20 & 12 \\28 & 16 \\24 & 15 \\25 & 18 \\\end{array}`

2. Plot the points on your graph

Draw a "best fit" line that goes as close as possible to all the points without necessarily passing through any of them.

Extend your line to the edges of the plot area.

Your graph should resemble the figure below.

It leads us to the not-too-surprising conclusion that the more minutes Matt is on the floor, the more points they score.