breannapereirao breannapereirao
  • 04-07-2017
  • Mathematics
contestada

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?

Respuesta :

yvictoria16
yvictoria16 yvictoria16
  • 04-07-2017
As the colony doubles every hour, the population p is modeled by:

p=2^t

Where t is the time in hours.

We can 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=2^9
p=512
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