SOLUTION: A certain bacteria population is known to double every 90 minutes. Suppose that there are initially 160 bacteria. What is the size of the population after t hours?

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Question 978091: A certain bacteria population is known to double every 90 minutes. Suppose that there are initially 160 bacteria.
What is the size of the population after t hours?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y, the population
t, time in hours
N, initial population
y=N%2Ae%5E%28kt%29

Skills with logarithms

ln%28y%29=ln%28N%29%2Bln%28e%5E%28kt%29%29
highlight_green%28ln%28y%29=ln%28N%29%2Bkt%29
Use this to solve for k, and again to solve for t.