Ashley is celebrating her sixtieth birthday by vacationing in Europe. She decides to travel around by train, so she can relax and enjoy the scenic views. The cost of a train ride includes a flat fee plus an additional charge per kilometer of the trip. A 30-kilometer train ride costs €25. A 45-kilometer ride costs €30.
In this relationship, x represents the distance Ashley travels (in kilometers), and y represents the cost of the trip (in euro).
Graph two points for this relationship and the line passing through them.
According

Here is the graph showing the relationship between the distance Ashley travels (in kilometers) and the cost of the trip (in euros). The red point represents the 30-kilometer ride costing €25, and the blue point represents the 45-kilometer ride costing €30. The line passing through these points represents the equation \( y = \frac{1}{3}x + 15 \).

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### Related Questions:
1. How would the graph change if the flat fee were higher?
2. What would be the cost for a 60-kilometer ride

Explore the relationship between the distance Ashley travels by train and the cost of her trip in euros. Graph two points (30 km, €25) and (45 km, €30) and learn how to derive the equation y = (1/3)x + 15 that represents this relationship.

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