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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

Respuesta :

Gwenuin
As the colony doubles every hour, the population [tex]p[/tex] is modeled by:

[tex]p = 2^t [/tex]

Where [tex]t[/tex] is the time in hours.

We can see this because:

[tex]2^0 = 1 \\ 2^1 = 2 \\ 2^2 = 4[/tex]

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

Thus at [tex]t=9[/tex]

[tex]p=2^9 \\ \\ p = \boxed{512}[/tex]

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