Expert: Josh - 10/19/2008

Question
I have been working on a math project and I can't seem to find out how to do this problem: I have to use 2 functions that I found and create a new function.  I don't know if my other functions are even correct but they are: w(t)=592.7714286t + 4600.05.  The other one is P(t)= 2.74996t + 282.26225

Answer
Hi Alicea

I need to clarify something with you first before I can help. Are w(t) and P(t) the two functions that you found?

Let's call the new function N(t). What conditions are imposed on the new function, N(t). In other words, are you allowed to create any new function that you want, or does N(t) have to model for something?

There are at least several possibilities that I can think of.

You could perhaps use N(t) to model the combined effects of w(t) and P(t).  So, a new function may be formed by taking a weighted average of w(t) and P(t).  viz., N(t)=a*w(t)+(1-a)*P(t) for some number a between 0 and 1.

You need to look more carefully at the project instructions.
For instance, you should find out if N(t) is also a linear function.