What kind of trend, and relationship is this graph?

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I need some help with labeling the trend of this graph, and also deciding what the relationship is between the two variables (X,Y). Here is a picture of it: enter image description here

enter image description here

The Excel document can be downloaded here: http://tempsend.com/5079DC65F4

Using Excels trend-line option it seems to fit either a exponential or moving average trend-line, and also to me seems like it has a horizontal asymptote. Can anyone help me with this? I am also looking at figuring out the relationship between the two variables, seeing i'm only familiar with linear relationship i have no clue.