Question

Which table has a constant of proportionality between \[y\] and \[x\] of \[2\]? Choose 1 answer: Choose 1 answer: (Choice A) \[x\] \[y\] \[2\] \[5\] \[6\] \[15\] \[12\] \[30\] A \[x\] \[y\] \[2\] \[5\] \[6\] \[15\] \[12\] \[30\] (Choice B) \[x\] \[y\] \[3\] \[6\] \[5\] \[10\] \[18\] \[36\] B \[x\] \[y\] \[3\] \[6\] \[5\] \[10\] \[18\] \[36\] (Choice C) \[x\] \[y\] \[6\] \[24\] \[10\] \[40\] \[14\] \[56\] C \[x\] \[y\] \[6\] \[24\] \[10\] \[40\] \[14\] \[56\]

Answer 1

A table that has a constant of proportionality between y and x of 2 is: B. table B.

In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:

y = kx

Where:

• y represents the y-variable​.
• x represents the x-variable.
• k is the constant of proportionality.

Next, we would determine the constant of proportionality (k) by using the various data points in table B as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 6/3 = 10/5 = 36/18

Constant of proportionality, k = 2.

In conclusion, we can logically deduce that table A has a constant of proportionality between y and x of 2.5 while table C has a constant of proportionality between y and x of 4.

Missing information:

Which table has a constant of proportionality between y and x of 2?