The diameter of a bacterial 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)

The colony doubles every hour, the population is equal to

p = 2^t

Where t is the time in hours.

We are able to see this because:

2^0 = 1

2^1 = 2

2^2 = 4

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

Thus at t = 9

p = 2^t

p = 2^9

p = 512.

The correct answer is 512.