使用jQuery向服务器提交变量

I'm trying to figure out how to submit my form with a page refresh. I'm creating a small dealer locator for a client, and when my form submits, they update the dealer list fine. What I'm trying to do is have it so the page doesn't reload. So far I've written the following code, but not sure how to post the variable and have it take effect by my Ruby on Rails code.I'm trying to figure out how to submit my form