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How Do You Write a Relation from a Word Problem?

Leo is the star basketball player for his high school team and has been compared to Lebron James. Over a season of five games, his free throw percentages were as follows: 55, 75, 4, 93, 96. Write a relation to show his free throw percentages over the five-game season and come up with a graph to show your data.

Summary

  1. x is a variable that stands for the game number
  2. y is a variable that stands for the free throw percentage
  3. We have 'x' and 'y' values to use ordered pairs, so let's use them!
  4. In set notation, we enclose a list of ordered pairs, like (x,y), in brackets like { and }
  5. Since the game numbers were the x-values, they will be on the x-axis
  6. Since the free throw percentages were the y-values, they will be on the y-axis
  7. FTP stands for free throw percentage
  8. We can plot the points of our relation on our graph

Notes

    1. In other words, a relation is a special grouping of points!
    2. 'x' and 'y' are variables
    1. 'x' and 'y' are variables
    1. 'x' is a variable
    2. Since there were only 5 games, we know that 'x' can be 1, 2, 3, 4, or 5
    1. 'y' is a variable
    2. 'y' can be any one of the free throw percentages: 55, 75, 4, 93, or 96
    1. Creating a table will give an organized look at the ordered pairs
    1. 'x' and 'y' are variables
    1. List 1, 2, 3, 4, and 5 to represent each of the five games
    1. List the free throw percentages in order: 55, 75, 4, 93, or 96
    1. Since we're using set notation, we start and end this list with curly brackets, like these { and }
    1. A relation is a group of ordered pairs, or points
    1. 'x' is a variable
    1. 'y' is a variable