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A scientist studied the population growth of a certain type of bacteria. He concluded that the population, P, of the bacteria would triple with each passing day, x. If the  expression a ·k^x represents the population growth of the bacteria, what is the value  of k?

 Mar 22, 2018
 #1
avatar+100595 
+2

The original ppopulation  is  " a"

If it triples everyday....after the 1st day  it is 3a

After the second day  it is 9a  , etc

 

 So....we have this

 

P  =  a(3)x     so.....k  = 3

 

Notice that   

When x  = 1,   P  = 3a

When x = 2, P  = 9a  ....etc.... 

 

 

cool cool cool

 Mar 22, 2018

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