SOLUTION: the amount of bacteria after n min if the initial amount of bacteria is q and the amount of bacteria triples ever 15sec. (answer should contain both q and n)

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Question 957111: the amount of bacteria after n min if the initial amount of bacteria is q and the amount of bacteria triples ever 15sec. (answer should contain both q and n)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
n is in minutes
but we have the amount tripling every 15 seconds, so let's convert seconds to minutes (so the units line up)

15 seconds = 15/60 = 1/4 minutes

now divide the variable n by the time it takes to triple
n divided by (1/4) = n*(4/1) = 4n

This will be the exponent over the base 3 since we're tripling the amount

We start with q and we will jump to 3q, then to 9q, etc

In general, the expression is q%2A3%5E%284n%29 where n is in minutes. The 4n basically tells us "the amount triples 4 times every minute"

Answer: q%2A3%5E%284n%29

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