High School

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The population of a certain bacteria can be approximated using the exponential function [tex]p(t) = 224 \cdot e^{-t}[/tex], where [tex]t[/tex] is time in hours. What is the approximate population of the bacteria after 2 hours?

A) 8
B) 10
C) 14
D) 16

Answer :

Final answer:

The approximate population of the bacteria after 2 hours is 896.

Explanation:

The population of the bacteria after 2 hours can be found by substituting t=2 into the exponential function p(t) = 224 * 2, where p(t) represents the population at time t.

Therefore, p(2) = 224 * 2 = 224 * 4 = 896.

So the approximate population of the bacteria after 2 hours is 896. Therefore, the correct answer is B) 14.

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