Question

4
which of the following tables represents a proportional relationship?
a.

x	6	7	8	9
y	18	36	54	72

b.

x	24	28	32	36
y	72	85	96	108

c.

x	6	12	18	24
y	18	36	54	72

d.

x	24	25	26	27
y	72	54	36	18

Explanation:

Step1: Check proportionality (y/x=k)

For proportionality, $\frac{y}{x}$ must be constant.

Step2: Calculate for Option A

$\frac{18}{6}=3$, $\frac{36}{7}\approx5.14$ (not constant).

Step3: Calculate for Option B

$\frac{72}{24}=3$, $\frac{85}{28}\approx3.04$ (not constant).

Step4: Calculate for Option C

$\frac{18}{6}=3$, $\frac{36}{12}=3$, $\frac{54}{18}=3$, $\frac{72}{24}=3$ (constant).

Step5: Calculate for Option D

$\frac{72}{24}=3$, $\frac{54}{25}=2.16$ (not constant).

Answer:

C. x: 6,12,18,24; y:18,36,54,72