SOLUTION: After 5 hours an initial bacteria population of 100 members has increased in size to 500 members. Determine the exponential growth rate of the colony of bacteria. I'm very conf

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Question 155617: After 5 hours an initial bacteria population of 100 members has increased in size to 500 members. Determine the exponential growth rate of the colony of bacteria.
I'm very confused by this word problem. I'd like the correct answer and to be able to learn how to come to that answer. Thank you for all your help!

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
OK, first, you know that you have exponential growth,
your equation looks like this,

Use your conditions to find and
.
.
.
Initially, at t=0 hours, N=100

since
.
.
.
At 5 hours, N=500,





.
.
.
Put it all together,


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