Video: Forming Ordered Pairs from a Data Set Representing a Relation

In basketball, each shot made from outside the 3-point line scores 3 points. The table shows this relationship. List this information as ordered pairs (3-point shots made, total number of points).

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Video Transcript

In basketball, each shot made from outside the three-point line scores three points. The table shows this relationship. List this information as ordered pairs where the first value is the three-point shot made, and the second value is the total number of points.

We usually think of ordered pairs in terms of 𝑥 and then 𝑦. In this case, the 𝑥-value would be the three-point shots made and the 𝑦-value would be the total points. On the table, in the first column, if there were zero three-point shots made, then the total number of points from the three-point shots would be zero. Moving to the second column, if there was one three-point shot made, the total number of points from three-point shots would be three, one comma three.

And the third column is the case when there were two three-point shots made, which means that there was six points scored from three-point shots. And the final column of the table tells us the case when three three-point shots were made, meaning there were nine points made from three-point shots, three comma nine. The set of ordered pairs for this table would be zero, zero; one, three; two, six; and three, nine.

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