# Ticket prices at an Amusement park

### by Anika Padhiar

## Graph

## Graphic Solution and the Point of Intersection

The point of intersection is at (5, 150). To test if these numbers are actually the graphical solution, subsistute t=5 and C=150 in to the equations of C=30t, and 28t - C + 10=0. This is because the POI gives us the solution, as the points lie on both of the lines.

Since the coordinates of the point of intersection, 5 and 150 satisfies both of the

equations, this means that t=5 and C=150 is the graphical solution.

## Significance of the Solution for this Linear system

This solution is significant because it will help people choose which option best suits their situation of how many tickets they are buying. If they are purchasing 4 or less tickets it is best to go with ordering tickets online (option B), because it will be a lower cost than purchasing them at the gates. If they are buying 5 tickets it will be the same cost, for both options, so it does not matter which option they choose to get their tickets. However, if they are buying 6 or more tickets the better choice is to purchase them at the park gates(option A), as the price would then be lower than buying it online.