Is the amount of visits you get per robux on a sponsor exponential?

For example, if you would sponsor a game for 10k robux, and it gets 10k visits, and then you sponsor for 100k robux, would you get more than 100k visits, or is it a linear growth?

Ad space is not directly purchased — instead, space is bid for in an auction format. There’s a limited amount of ad space available, so ads with higher bids get more impressions (displays).

Imagine there are 3 ads in the system (there will often be hundreds):

Ad Bid Amount Result
A 300 The ad will appear three times as often as B and six times as often as C .
B 100 The ad will appear twice as often as C .
C 50

You likely won’t.
Let’s say there are 1,000,000 pairs of eyes on the Games page. There’s already 100,000 R$ bid on the ad market at the moment, meaning 1 R$ is 10 impressions.
If you sponsored with 10000 R$ (and all the impressions became visits), you would get
1000000 / (100000 + 10000) * 10000 = 90909 visits.
If you sponsored with 100000 R$, you would get
1000000 / (100000 + 100000) * 100000 = 500000 visits.
That’s a 5x increase in visits for a 10x increase in R$ spent. (edit: depending somewhat on how much R$ is already bid and how many people are already bidding)

(P.P.S:
You also have to consider that coming up too often will make people ignore the ad. If not a single other soul was bidding, you could get all 1,000,000 impressions on your ad with one R$, but they will probably get sick of seeing it on every Sponsored slot.)

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