SOLUTION: A population of bacteria is growing according to the exponential model P=100e^70t, where P is the number of colonies and t is measured in hours. How many colonies are present init

Question 553542: A population of bacteria is growing according to the exponential model P=100e^70t, where P is the number of colonies and t is measured in hours. How many colonies are present initially?
A. 2.72
B. 70
C. 100
D. 1000
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
p=100 e^70t

The initial population is where t=0:

P=100 e^0 = 100

I wrote a whole NON-TRADITIONAL explanation of LOGARITHMS in College Algebra!! The easiest way to find my explanation is to go to my FREE website using the easy-to-remember and easy-to-spell link www.mathinlivingcolor.com. At the bottom of this page is a link that will take you to my Homepage. Look near the top of this page for the link "Basic, Intermediate, and College Algebra: One Step at a Time", click on "College Algebra." In College Algebra, look in Chapter 4 for an entire chapter on Logarithms, especially Section 4.05 on Growth and Decay. The lesson is complete with explanations, examples, and exercises with all the answers. You will especially like the "MATH IN LIVING COLOR" sections that go with this. There are also TWO FREE videos of me teaching this topic in my younger years before I retired from teaching. The videos can be found from my Homepage by looking for the link "Rapalje Videos in Living Color". Choose College Algebra, and look for the Logarithms videos. I think you will find that my explanations are a LOT easier to understand than the traditional textbooks you are probably using.

Happy New Year!! My Email address is rapaljer@seminolestate.edu if you need to contact me!!

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus

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