When i push on my gas my rpms go up and i have slow acceleration

Hi Sherri,what kind of vehicle you have,need year,make,model.

who puts a 4 cyl in a mustang??? 4 cyl cant push that kind of weight,i have a briggs and stratton motor that might work better

automatic i assume? the trans could be slipping if trans fluid is brownish red and smells kinda like burnt catpiss that is an indacation . if someone tells you its slipping and needs to be replaced put new trans filter and fluid change first i have had alot of success with tranies just doing that and its relatively cheap

Throttle position sensor.

You have a failed transaxle

The rpm flairs,that is a dead give away

You may have a worn out & clogged exhaust converter, adding to the problem, but the trans is gone, if the rpm flairs & after 45, you it doesn't run half decent

IF you have a carby then take it apart and clean it out as all the throats are not working properly including the accelerator pump.

It sounds like you may have a clogged-up catalytic converter. Try cracking the exhaust loose at the flange in front of the engine where the Catalytic converter bolts to the exhaust manifold. You don't have to take it all the way down, just 1/2" or so. You may have to take the bolt loose on the bracket where the pipe mounts to the oil pan to get the cat to drop down. After you get it down a ways, start it up and see if it runs better. (It will be very loud) If it idles and accelerates without dying or backfiring, then your cat is clogged up.

2001 elantra gets 300 miles per tank of gas regular unleaded
slow to respond when accelerated 105 K original miles recently purchased
no check engine lights most parts look original engine revs up but tranny seems slow to respond?

The clutch is slipping, eventually it will fail completely. The reason she notices it in 5th gear is because 5th or overdrive uses the transmission the most IE low rpms high speeds. Soon it will affect all gears. Sorry the only way to fix it ts to replace it.
I think they make a clutch kit for this model
Good luck
Hope this helps
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low on transmission fluid ,