Question 957111
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*3^(4n)}}} where n is in minutes. The 4n basically tells us "the amount triples 4 times every minute"


Answer: {{{q*3^(4n)}}}


------------------------------------------------------------------------------------------------------------------------


If you need more one-on-one help, email me at <a href="mailto:jim_thompson5910@hotmail.com?Subject=I%20Need%20Algebra%20Help">jim_thompson5910@hotmail.com</a>. You can ask me a few more questions for free, but afterwards, I would charge you ($2 a problem to have steps shown or $1 a problem for answer only).


Alternatively, please consider visiting my website: <a href="http://www.freewebs.com/jimthompson5910/home.html">http://www.freewebs.com/jimthompson5910/home.html</a> and making a donation. Any amount is greatly appreciated as it helps me a lot. This donation is to support free tutoring. Thank you.


Jim

------------------------------------------------------------------------------------------------------------------------