Question

select two tables that represent a proportional relationship between x and y.
a.

x	0	3	4	5
y	0	9	16	25

b.

x	0	1	3	5
y	0	4	12	20

c.

x	0	2	6	10
y	0	14	42	70

d.

x	0	5	7	9
y	0	11	15	19

Explanation:

Step1: Check proportionality for Table A

$\frac{y}{x}$: $\frac{9}{3}=3$, $\frac{16}{4}=4$ (not constant) → No

Step2: Check proportionality for Table B

$\frac{y}{x}$: $\frac{4}{1}=4$, $\frac{12}{3}=4$, $\frac{20}{5}=4$ (constant) → Yes

Step3: Check proportionality for Table C

$\frac{y}{x}$: $\frac{14}{2}=7$, $\frac{42}{6}=7$, $\frac{70}{10}=7$ (constant) → Yes

Step4: Check proportionality for Table D

$\frac{y}{x}$: $\frac{11}{5}=2.2$, $\frac{15}{7}\approx2.14$ (not constant) → No

Answer:

B. Table with x:0,1,3,5 and y:0,4,12,20, C. Table with x:0,2,6,10 and y:0,14,42,70