For the same reason as we wake up, speak up, line up, dress up, think up ideas, brighten the place up or light up a cigar...or someone puts himself up for election or it's up to him to do something and so forth.
To quote..."If you are up to it, you might try building up a list of the many ways in which up is used. It may take up a lot of your time, but if you don't give up you may wind up with a thousand."
The answer is simply that it is an idiom...ie just the way we say/write things.