If x and y are proportional, then y : x = constant.
[tex]\dfrac{y}{x}=a\to y=ax[/tex]
We have (4, 3) and (x, 9). Substitute:
[tex]\dfrac{9}{x}=\dfrac{3}{4}[/tex] cross multiply
[tex]3x=(9)(4)[/tex]
[tex]3x=36[/tex] divide both sides by 3
[tex]\boxed{x=12}[/tex]
The value of x = 12.
When a variable is proportional to another variable then an increase or decrease in the value of either has an effect on the other variable.
The extent of proportion is given by the proportionality constant
y ∝ x
y = k x
This is the function for a proportional relationship.
where k is the proportionality constant
It is given in the question that
The graph of a proportional relationship passes through the points (4,3) and (x,9).
Then
[tex]\rm \dfrac{4}{3} = \dfrac{x}{9}[/tex]
x = 9 * 4 / 3
x = 12
Therefore the value of x = 12.
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