Maria Gaetana Agnesi, an Italian mathematician of the 18th century, well known for the "Agnesi curve", is recognized mainly in the area of analysis, with the publication of the first complete book on Differential and Integral Calculus.

Let us suppose the situation in which Maria Gaetana Agnesi needed to make some repairs in her home and contacted a company in her city for their execution. The company provided her with the rate that would be applied:

• Travel expenses: €6
• Price per hour of work: €9

Please, answer the following questions:

1. Try to find a function that connects the total number of hours of work with the total price that Maria must pay.
2. What kind of function is it?
3. Represent it on a graph.
4. Does it make any sense to connect the points in the graph? Give reasons for your answers.
5. Calculate how much Maria must pay if the repairs take 2 hours and 30 minutes.