Maria Gaetana Agnesi, 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 of Differential and Integral Calculus.
Solve the following problem from the area of analysis, in which Maria Gaetana Agnesi worked so hard:
Maria Gaetana Agnesi went to the market to buy some oranges. There, she read a chart with the price she had to pay depending on how many kilos of oranges she bought.
| kg of oranges | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| Price (in euros) | 0 | 2 | 10 |
a) Indicate which quantities are the independent variable and the dependent variable.
b) Complete the chart.
c) Express the data as ordered pairs and represent them graphically.
d) What do points (0,0); (1,2) and (5,10) mean?
e) Does it make any sense to connect the points in the graph? Why?