The statements that are true are A, B, C, and D.
What is Direct Variation?
When a variable varies directly with the other variable, i.e. on increasing one variable the other variable also increases, this relation is called Direct Variation.
Let x represent the number of tickets sold
Let y represent the amount of money earned from ticket sales.
y ∝ x
y = kx
k is the proportionality constant.
The given equation is y = 2/3 x
This is similar to the equation of straight line y = mx +c.
m is the slope.
m = 2/3
The y is in a proportional relationship, with a proportionality constant = 2/3.
If x is changed by 3 units, the y will change by,
Δy = ( 2/3) * 3
Δy = 2
y / x = 2/3
So, the unit rate of change of y with respect to x is 2/3.
The graph is attached with the answer,
To know more about Direct Variation
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