Question

This exercise uses the population growth model. The count in a culture of bacteria was 600...

This exercise uses the population growth model.

The count in a culture of bacteria was 600 after 2 hours and 38,400 after 6 hours. Find a function that models the number of bacteria n(t) after t hours. (Enter your answer in the form

n0ert.

Round your

n0

value to the nearest whole number. Round your r value to two decimal places.)

Math   Algebra   
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Homework Answers

Answer #1

From the population growth model,

The population is 600 after 2 hours implies

The population is 38400 after 6 hours implies

Divide Eq2 by Eq1

Therefore, the exponential model is

Find A0

Hence, the exponential growth model is

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