SOLUTION: MAT 145: Topics In Contemporary Math 17: Exponential Growth 4) A culture of paramecia contains 75 organisms. Assuming the presence of sufficient food and physical

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Question 1193188: MAT 145: Topics In Contemporary Math

17: Exponential Growth
4) A culture of paramecia contains 75 organisms. Assuming the presence of sufficient food
and physical room, the culture increases by 30% per hour. How many paramecia would
there be after 12 hours?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Think and compare to the other answered question.

Here without explanation, 75%2A%281.3%29%5E12.
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You need to pay attention to your textbook and study.
The description is for exponential growth. Your specific problem description gives increase of 30% of the population EVERY HOUR. Your number of paramecia started as 75 organisms. The most unrefined way to find how many will be present after 12 hours, you would most obviously go about it like this:
TIME PASS       HOW MANY PARAMECIUM
    0               75
    1               75+(0.3)(75)=97.5
    2               97.5+0.3*97.5=126.6
    3               75*(1.3)^3=164.8,   since you should be able to see the pattern by now
    4               75*(1.3)^4=214.2
    .
    .             and you can just keep on going,....
    .
   12              75*(1.3)^12   which you can compute on your own.