Question

which table shows a proportional relationship between $x$ and $y?$

Explanation:

Step1: Define proportional relationship

A proportional relationship means $\frac{y}{x} = k$ (constant) for all pairs.

Step2: Check Table A

Calculate $\frac{y}{x}$ for each pair:
$\frac{5}{10} = \frac{1}{2}$, $\frac{6}{12} = \frac{1}{2}$, $\frac{7}{14} = \frac{1}{2}$, $\frac{8}{16} = \frac{1}{2}$
All ratios equal $\frac{1}{2}$ (constant).

Step3: Verify other tables (optional)

Table B: $\frac{5}{8}=0.625$, $\frac{7}{10}=0.7$ (not equal)
Table C: $\frac{9}{18}=0.5$, $\frac{21}{24}=0.875$ (not equal)
Table D: $\frac{25}{4}=6.25$, $\frac{39}{6}=6.5$ (not equal)

Answer:

A.

$x$	$y$
12	6
14	7
16	8