which table has a constant of proportionality between y and x of 2?\nchoose 1 answer:\na\nx y\n2 5\n6 15\n12…
which table has a constant of proportionality between y and x of 2?\nchoose 1 answer:\na\nx y\n2 5\n6 15\n12 30\nb\nx y\n3 6\n5 10\n18 36\nc\nx y\n6 24\n10 40\n14 56
Answer
Explanation:
Step1: Calculate the constant of proportionality for table A
For table A, when (x = 2,y = 5), the ratio (\frac{y}{x}=\frac{5}{2}=2.5); when (x = 6,y = 15), (\frac{y}{x}=\frac{15}{6}=2.5); when (x = 12,y = 30), (\frac{y}{x}=\frac{30}{12}=2.5). The constant of proportionality is (2.5\neq2).
Step2: Calculate the constant of proportionality for table B
For table B, when (x = 3,y = 6), the ratio (\frac{y}{x}=\frac{6}{3}=2); when (x = 5,y = 10), (\frac{y}{x}=\frac{10}{5}=2); when (x = 18,y = 36), (\frac{y}{x}=\frac{36}{18}=2). The constant of proportionality is (2).
Step3: Calculate the constant of proportionality for table C
For table C, when (x = 6,y = 24), the ratio (\frac{y}{x}=\frac{24}{6}=4); when (x = 10,y = 40), (\frac{y}{x}=\frac{40}{10}=4); when (x = 14,y = 56), (\frac{y}{x}=\frac{56}{14}=4). The constant of proportionality is (4\neq2).
Answer:
B.