The number of meters of cable necessary for an elevator depends on the number of floor of the building. Suppose that m = 7p + 12.

• Is the previous relation a linear function?

• What amount of cable will the elevator need to build 9 floors?

• What is the number of floors that use 124m of cable in this elevator?

• What does the slope of the previous equation represent in the real world?

• Sketch the graph of the previous equation.

X (m) Y (p)

26 2

19 1

12 0

5 -1

-2 -2

m = 7p + 12