### Home > CC3 > Chapter 10 > Lesson 10.1.3 > Problem10-43

10-43.

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

1.  $x$ $5$ $7$ $9$ $–8$ $0$ $11$ $15$ $y$ $9$ $13$ $17$ $–17$ $–19$ $21$ $29$
2.  $x$ $7$ $14$ $91$ $9$ $–12$ $–36$ $81$ $y$ $2\frac { 1 } { 3 }$ $4\frac { 2 } { 3 }$ $30\frac { 1 } { 3 }$ $3$ $–4$ $–12$ $27$
3.  $x$ $–3$ $–10$ $0$ $10$ $5$ $4$ $\frac { 1 } { 2 }$ $-\frac { 3 } { 2 }$ $y$ $–27$ $–1000$ $0$ $1000$ $125$ $48$ $\frac { 1 } { 8 }$ $-\frac { 27 } { 4 }$

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 $\left(0,0\right)$ and grows at a constant rate.