A culture started with 1, 000 bacteria . After 2 hours , it grew to 1, 20 bacteria . Predict how many bacteria will be present after 13 hours . Round your answer to the nearest whole number.

3271

Step-by-step explanation:

In this problem, we have:

is the population of bacteria at the beginning, at time t = 0

After 2 hours, we have a number of bacteria equal to

This means that the growth of the population for every 2 hours is:

This means that we can write an expression for the population after n pairs of hours as follows:

where

n is the number of "pairs of hours" passed from t = 0

In  this problem, we want to find the population of bacteria after 13 hours, which contains a number of pairs of hours equal to:

Therefore, substituting 6.5 in the expression, we find the population after 13 hours:

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