Compare your answers


    1. Complete the table of values for the relation represented by the graph.

      x −5 −2 1 4 7 10
      y −4 0 4 8 12 16


    2. Extrapolate the next two sets of values in the table.



    3. Describe the patterns you see in the graph.

      All points can be connected by a straight line. Adjacent x -values have a common difference of 3. Adjacent y -values have a common difference of 4.

    4. Complete the sentence.
      To move from one point on the graph to the next, move 4 units up and 3 units to the right.


  2. Given the following table of values, determine the missing y-values, assuming the relation is linear.

    x −6 −3 0 3 6 9
    y −1 2 5 8 11 14


  3. Shayla sells scarves and earns $50.00 for every 4 scarves she sells.

    1. Complete the table.

      # of Scarves 0 4 8 12 16 20
      Earnings ($) 0 50 100 150 200 250


    2. Does this scenario represent a linear relation? Explain.

      This is a linear relation. For every increase of 4 scarves, there is an increase in earnings of $50.

      Difference between # of scarves Difference in Earnings


    3. How much does Shayla earn for selling 36 scarves?

      The table can be extended to determine this value.

      # of Scarves 0 4 8 12 16 20 24 28 32 36
      Earnings ($) 0 50 100 150 200 250 300 350 400 450

      Shayla earns $450.00 for selling 36 scarves.