The fuel pump has a float on it. That float goes up and down with the fuel level, and has a rheostat that returns a corresponding amount of voltage to the gauge. If the wiring for that float is loose, or if the float got stuck in position when the pump was installed, then the gauge will not be accurate. Try filling the tank with gas and taking the car for a drive down a dirt road. Doing so might jar it loose if it's just stuck. If not, drive it for a couple of days and then open the access door up again (if the car doesn't have an access door, then you'll have to lower the tank and pull the pump out that way). Pull the pump out and check the condition of the float and make sure that it moves the way that it's supposed to. Put it back in and make sure that the wires are super tight. Test it out. If it still doesn't work, exchange the pump for a new one.
https://www.2carpros.com/articles/how-a-fuel-pump-works - General information on the pump
https://www.2carpros.com/articles/how-to-replace-an-electric-fuel-pump - How to change a pump in general
Do some poking around and let us know what you find. We'll go from there.
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Monday, January 14th, 2019 AT 8:51 PM