Can You Create a Function that Triples Every 7 Starting at 20?

jared89 · Apr 13, 2009

write a function that starts at 20 and triples every 7

arildno · Apr 13, 2009

I'm sure you have just learned about exponential functions!

Utilize that knowledge to find a solution to your problem.

coomast · Apr 13, 2009

Hello jared89, welcome to the forum

You could use the exponential function in a general form and start fitting it to the two conditions you have, however there is a slightly more advanced way. Write out the two conditions as:

[tex]f(0)=20[/tex]
[tex]f(7x)=2f(x)[/tex]

Take the derivative of the second one and use in it the original again. You will end up with a first order differential equation giving as solution the exponential function. Using the first equation as boundary gives then the function you are looking for.

Can you do this?

Can You Create a Function that Triples Every 7 Starting at 20?

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Can You Create a Function that Triples Every 7 Starting at 20?

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