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Assignment: Relations
Relations can be represented in various forms, including written descriptions, mapping diagrams,
tables, and graphs. To complete this activity, read the three descriptions of relations in everyday
life. Then represent each relation in the requested form. Finally, create two scenarios of your own
that involve relations in real life.
1. The manager of Extreme Video Games keeps track of the profits the company earned
after releasing one of its latest games. During the first week, the game profits were
$15,000. In the second week, the profits grew to $22,500. In the third week, profits held
steady at $22,500, and in the fourth week, profits grew to $25,000. Using x to represent
the week and y to represent the profits earned, create a mapping diagram to represent
this relation.
2. Kendall recently received a job offer which required him to move his house full of furniture
across the country from Columbia, South Carolina, to Riverside, California. To manage
his moving expenses, Kendall kept track of the amount of gasoline used by the moving
truck he rented. The truck used 109 gallons of gas to drive 1,092 miles from Columbia to
Des Moines, Iowa. On the next leg of the drive, the truck used 67 gallons of gas to drive
671 miles from Des Moines to Denver, Colorado. Finally, he used 99 gallons of gas to
drive 985 miles from Denver to Riverside, California. Using x to represent the number of
miles and y to represent the number of gallons, create a table of values to represent this
relation.
3. 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.
© K12 Inc.
Next, create two scenarios of your own that involve relations in real life. Describe the scenarios in
detail, including a description of the two variables involved and data for each of the variables.
Then create either a table, a mapping diagram, or a graph to represent the data in each scenario.
Include at least three data points in your representation. Use a different way to represent the
relation for each of your scenarios.
© K12 Inc.

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