Find the slope of the data, using the formula of the slope:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Use 2 pairs of data to find it:
[tex]\begin{gathered} m=\frac{107.50-58.50}{4-2} \\ m=\frac{49}{2} \\ m=24.50 \end{gathered}[/tex]
In this case the slope is 24.50.
It represents the cost per ticket.
Now, we can use this slope and a pair of data to find the equation that represents this situation, using the point slope formula:
[tex]\begin{gathered} y-y1=m(x-x1) \\ y-58.50=24.50(x-2) \\ y-58.50=24.50x-49 \\ y=24.50x-49+58.50 \\ y=24.50x+9.50 \end{gathered}[/tex]
According to this the y intercept of the equation is 9.50, which is also the service charge.
Knowing this information allows us to determine that the statements that are true are I and II.
