### Home > CC3 > Chapter Ch10 > Lesson 10.1.3 > Problem 10-43

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.