Answer:
B
Step-by-step explanation:
We are given a proportional relationship and we want to find the equation that models it.
Since the relationship is proportional, we know that it must go through the origin point (0, 0).
Also, we can see from the graph that it passes through the point (1, 3).
We can now find the constant of proportionality or the slope using the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (0, 0) be (x₁, y₁) and let (1, 3) be (x₂, y₂). Hence:
[tex]\displaystyle m=\frac{3-0}{1-0}=\frac{3}{1} = 3[/tex]
Our constant of proportionality is 3.
A proportional relationship is given by:
[tex]y=kx[/tex]
Where k is the constant of proportionality.
So:
[tex]y=3x[/tex]
Our answer is B.
