It does not work that way. The finite Easy Oil is the proverbial tip of the iceberg. The price point just trends upwards after the relatively easy material is successfully mined/drilled -- there is plenty more, it is just harder and harder to get to.
There is a small amount of oil that can be pumped at less than $10 per barrel. There is a moderate amount of oil that can be pumped at $20 per barrel, and that will disappear in the foreseeable future. At $50 per barrel, there is a lot of fossil fuel material. At $100 per barrel, there is vastly more. At $200 per barrel, we do not know because no one will care until the 23rd century, but the problem will probably be the environmental damage, not the availability.
There is a small amount of oil that can be pumped at less than $10 per barrel. There is a moderate amount of oil that can be pumped at $20 per barrel, and that will disappear in the foreseeable future. At $50 per barrel, there is a lot of fossil fuel material. At $100 per barrel, there is vastly more. At $200 per barrel, we do not know because no one will care until the 23rd century, but the problem will probably be the environmental damage, not the availability.