SOLUTION: The number of bacteria in a culture is increasing according to the law of exponential growth. After 2 hours, there are 200 bacteria, and after 4 hours, there are 800 bacteria. How

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The number of bacteria in a culture is increasing according to the law of exponential growth. After 2 hours, there are 200 bacteria, and after 4 hours, there are 800 bacteria. How       Log On


   

Question 672741: The number of bacteria in a culture is increasing according to the law of exponential growth. After 2 hours, there are 200 bacteria, and after 4 hours, there are 800 bacteria. How many bacteria will there be after 5 hours?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The number of bacteria in a culture is increasing according to the law of exponential growth.
After 2 hours, there are 200 bacteria, and after 4 hours, there are 800 bacteria.
:
Let's assume we start out with 50 bacteria
t = hrs
50*2^1 = 100 after 1 hr
50*2^2 = 200 after 2 hrs, as given above
50*2^4 = 800 after 4 hrs, as given
:
How many bacteria will there be after 5 hours?
:
50*2^5 = 1600 bacteria