Problem

a. Jilly is building towers with cubes, placing one cube on top of another and painting th...

a. Jilly is building towers with cubes, placing one cube on top of another and painting the tower (including the top and the bottom, but not the faces touching each order). Find the number of square faces that Jilly needs to paint for towers made of 1, 2, 3, 4, 5, and 6 cubes by filling in the following table:

# of cubes# of Squares to Paint
16
210
3 
4 
5 
6 

b. Graph the information you found in part (a) where the number of cubes in a tower is on the horizontal x-axis and the number of squares to be painted is on the vertical axis.


c. If x is the number of cubes in a tower and y is the corresponding number of squares to be painted, write an equation that gives y as a function of x.


d. Is the graph describing the number of squares as a function of the number of cubes used a straight line?

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