SOLUTION: A research student is working with a culture of bacteria that doubles in size every 20 minutes. The initial population count was 1200 bacteria. a)Rounding to four decimal places

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Question 1129327: A research student is working with a culture of bacteria that doubles in size every 20 minutes. The initial population count was 1200 bacteria.
a)Rounding to four decimal places, write an exponential equation representing this situation.
b)Rounding to the nearest whole number, use B(t) to determine the population size after 3 hours

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x, time in minutes
I, initial count
B, count after x minutes

B=I%2A2%5E%28x%2F20%29

If I = 1200 and x = 3 hours, find B.

For 3 hours, x will be 180 minutes.
B=1200%2A2%5E%28180%2F20%29

B=1200%2A2%5E9

B=614400