Why is my car randomly not accelerating?

What is your question?

My car is driving fine (don't hear any strange noises) however, sometimes when I press on the gas (fully) it takes a while to accelerate or as of recently wouldn't accelerate at all until after maybe 30 seconds or so (a long time on an on-ramp.) When it would accelerate, it would go pretty fast as if skipping first gear? It is a 2010 Nissan Rogue that has quite a few miles on it. It's been across the country maybe two-three times and I drove it a lot to and from two small cities about an hour away from each other while in college.

What makes this problem better or worse?

At times it seemed like less gas would make it worse but recently, the amount of gas had nothing to do with it.

How long has your 2010 Nissan Rogue had this problem?

A month or so