CPM Homework Banner
10-43.

Which table or tables below show a proportional relationship? Justify your answers. Homework Help ✎

  • a.

    x

    5

    7

    9

    –8

    0

    11

    15

    y

    9

    13

    17

    –17

    –19

    21

    29

    b.

    x

    7

    14

    91

    9

    –12

    –36

    81

    y

    2

    4

    30

    3

    –4

    –12

    27

    c.

    x

    –3

    –10

    0

    10

    5

    4

    y

    –27

    –1000

    0

    1000

    125

    48

A proportional equation can be written using an equation of the form y = kx.

Based on the equation above, a relationship that is proportional must contain the point (0,0) and have a constant rate of growth represented by a constant, k.

Which of these tables has these attributes?

Rearranging the ordered pairs so the x-values are listed from smallest to largest x-values may be helpful.

Table (b) could contain the point (0,0) and grows at a constant rate.