The diameter of a bacteria colony that doubles every hour is represented by the graph below. what is the diameter of the bacteria after 9 hours? (0,1) (1,2) (2,4) (3,8)

answers:
128
256
512
1024

As the colony doubles every hour, the population is modeled by:



Where is the time in hours.

We can see this because:



Notice that the x coordinate of the graph corresponds to the time, and the y coordinate corresponds to the population.

Thus at