### Home > CC3 > Chapter Ch10 > Lesson 10.1.3 > Problem10-43

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$\frac { 1 } { 3 }$ 4$\frac { 2 } { 3 }$ 30$\frac { 1 } { 3 }$ 3 –4 –12 27 c. x –3 –10 0 10 5 4 $\frac { 1 } { 2 }$ –$\frac { 3 } { 2 }$ y –27 –1000 0 1000 125 48 $\frac { 1 } { 8 }$ –$\frac { 27 } { 4 }$

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.