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The doubling time for a certain type of cell is 4 h. The number of cells after t hours is described by N(t)=N02t/4 where N0  is the initial population. 

 

a) Sketch a graph of the function for initial population of 3 bacteria. 
b) Determine the number of cells after 24 hours.
c) How would the graph and the equation change if the doubling time were 2 h?
d) What are the domain and range of this function in the context of this problem?

 

I know a b and c I'm just stuck with d. If anyone could help me I would appreciate it :)

Julius  Apr 20, 2017
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N(t)  =  3 * 2^(t / 4 )    for doubling time =  4 hrs

N(t)  =  3 * 2^(t/2)      for doubling time = 2 hrs

 

Domain   =   [ 0, inf )

Range  =  [ 3, inf )

 

Look at both graphs, here :  https://www.desmos.com/calculator/j7d5uvtim4

 

 

cool cool cool

CPhill  Apr 20, 2017

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