Answer:
When x increases by 1, y increases by 3/2 = 1.5
Step-by-step explanation:
If x and y are proporttional then
[tex]\dfrac{y}{x}=costant\to\dfrac{y}{x}=a\to y=ax[/tex]
From the table we have x = 2 and y = 3.
Substitute:
[tex]3=2a[/tex] divide both sides by 2
[tex]\dfrac{3}{2}=\dfrac{2a}{2}\\\\\dfrac{3}{2}=a\to a=\dfrac{3}{2}[/tex]
Therefore we have:
[tex]y=\dfrac{3}{2}x[/tex]
We increase x by 1:
[tex]y_1=\dfrac{3}{2}(x+1)[/tex] use the distributive property
[tex]y_1=\underbrace{\dfrac{3}{2}x}_{y}+\dfrac{3}{2}\Rightarrow y_1=y+\dfrac{3}{2}[/tex]
