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Linear Function from Table of Values

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to create a table of values that represent a linear function.

Hint

Hint

What has to happen for a table to show a linear relationship? What has to happen for a table to NOT show a linear relationship?

Answer

Answer

Here are two possible solutions. The first number is the x-value and the second number is the y-value.

Solution 1
1 2
3 4
5 6
7 8

Solution 2
1 5
2 6
3 7
4 8

Source: Robert Kaplinsky

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6 comments

  1. Can we swap x and y and create two more solutions?

  2. x:y
    1:3
    2:7
    3:7
    4:4
    7:1
    5:7

  3. Using digits 1 through 4 at most once each, there are 9 different ways to complete the tables to create a table of values ​​that represents a linear function.
    https://twitter.com/PuntMat/status/1102466314399039488

  4. x y
    1 1
    2 3
    3 6
    4 9

  5. X Y
    12:14
    14:15
    16:16

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