Using the proportional relationship equation, the missing values are:
Third row: x = 6 and y = 9
Fourth row: x = 15
<h3>What is a Proportional Relationship?</h3>
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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