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Investigations: Straight line curves

1.          Complete this table  
Amount of points Y-coordinate of p
1 
3 
7 
15 
2.) Can you predict the amount of points needed for the y-coordinate to be 0.25?
3.) Can you make a general rule that gives you the y-coordinate of P in terms of the number of points used?
4.) Gradually increase the number of points and look at the figure that is generated. Justify the reason for the sentence "straight line curves" in the context. 5.) Can you make some links to real-life situations?