appreciate your lunch是感谢您的午餐的意思吗,

前者正式一些,而且前者感谢的程度更高.
通常appreciate用来感谢的话都是这样说的：
I really appreciate your lunch and i really mean it.
面试的结束的时候也可以说：
Thank you for your time and i really appreciate it.
感谢的程度：appreciate用来感谢大于thank you 大于thanks
比如说：I really appreciate the everything you've done for me.> Thank you for the everything you've done for me.> thanks.
总之话越多越客气,话越多越正式,话越多越礼貌

意思是一样的，前面的是感激，后面的是感谢。其实都是想表达感谢的意思。不分正式或非正式，只是词性不相同。