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A bacteria culture starts with 160 bacteria and grows at a rate proportional to its size. After 5 hours
there will be 800 bacteria.

Sagot :

The population after t hours is 160 x (1.3797)^t.

What is the population after t hours?

The first step is to determine the growth rate of the bacteria:

growth rate = (future population / initial population) ^(1/number of years) - 1

(800 / 160)^(1/5) - 1= 37.97

The exponential function : 160 x (1.3797)^t

Here is the complete question:

A bacteria culture starts with 160 bacteria and grows at a rate proportional to its size. After 5 hours

there will be 800 bacteria. Express the population after t hours as a function of t. population:

To learn more about exponential functions, please check: https://brainly.com/question/26331578

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