# The amount of time it takes to get to work depends on how much traffic there is, and the amount of traffic there is depends on what time of day it is. variablesThe amount of time it takes to get to work depends on how much traffic there is, and the amount of traffic there is depends on what time of day it is. If we call the amount of traffic C and the time of day t, then C is a function of t. If we call the time it takes to get to work W, then W is a function of C. Provide an example of a composite function using these variables

The amount of traffic is C(t) and the time it takes to get to work is W(C).  This means that the amount of time to get to work is:

`W circ C(t)`  which is a composite function.

As an example, consider `C(t)=100sin({pi t}/12)+100` , and `W(C)=20C+20` .  This means that no matter how little traffic is on the road, it will take at least 20 minutes to get to work, and also the traffic varies sinusoidally with time, where the traffic is periodic with period of 12 hours.

This gives the overall composition function of `W(t)=2000sin({pi t}/12)+2020` for the amount of time to get to work.