Find an exponential function

Question

Suppose that a concentration of a bacteria sample is 100,000 bacteria per milliliter. The concentration doubles every 3 hours. Find an exponential function to model the data. Approximate the number of hours needed for the concentration to reach 350,000 bacteria per milliliter.

Answer 1

Q= 100,000* 2^(t/3)

 

350,000= 100,000*2^(t/3)

 

3.5= 2^(t/3)

 

log 3.5= t/3 log2

 

t= 3log 3.5/log2