Question

Drag numbers to the table so it shows a proportional relationship between x and y.

Answer 1

Using the proportional relationship equation, the missing values are:

Third row: x = 6 and y = 9

Fourth row: x = 15

What is a Proportional Relationship?

A proportional relationship can be described as a relationship between two variables, x and y, that have equivalent ratios. In order words, one variable always equals a constant when multiplied by the other variable.

The constant is called the constant of proportionality which can be represented as k.

Thus, k = y/x.

A proportional relationship between x and y can be represented with the equation, y = kx, where k is the constant of proportionality.

Using the pairs given in the table, (3, 4.5), find the constant of proportionality, k:

k = y/x = 4.5/3

k = 1.5

The equation that models the proportional relationship of the values in the table would be: y = 1.5x.

Use the equation to find the rest of  the missing values.

Third row:

If x = 6 and y = 9, then,

k = y/x = 9/6 = 1.5

The missing values for the third row would be: x = 6 and y = 9

Fourth row: Substitute y = 2.5 into y = 1.5x to find x

22.5 = 1.5x

22.5/1.5 = x

15 = x

x = 15

Missing value in the fourth row will be: x = 15.

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