a population of bacteria is growing according to the exponential model p=ce^kt

Algebra
Tutor: None Selected Time limit: 1 Day

where p is the number of colonies and t is the measured in hours. if there were 120 colonies present initially and there are 550 colonies present after 4 hours what is k the population's growth rate? (round answer to the nearest hundreth

Mar 14th, 2015

So, we have to set up the problem with the given model:

550 = 120e^4k

Divide both sides by 120 to get:

4.583 = e^4k

Now take the natural log of both sides to get:

1.522 = 4k

Solve for k to get:

k = 0.38

Mar 14th, 2015

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