Look at your code (I'll indent it properly so it's more readable):
//Write a while loop that reads the records from file.
while(!(fin.eof()))
{
fin>>truck_Num;
cout << "Truck number " << truck_Num <<" is a/an " << modelType << " model." <<endl;
fin>>truck_Num;
fin>>modelType;
}
You read the truck number, and print it - and the model which you haven't read.
Then you read the truck number again.
Then you read the model.
Then it's back round the loop: read the truck again (and discard the one you just read) and print it, and the previous model number.
Does any of that sound sensible to you?
Read the truck number, and then the model.
Then print them, and go back round the loop.
This assumes that your text file contains valid information and no blank lines - and we have no access to that!
So, it's going to be up to you.
Fortunately, you have a tool available to you which will help you find out what is going on: the debugger. How you use it depends on your compiler system, but a quick Google for the name of your IDE and "debugger" should give you the info you need.
Put a breakpoint on the first line in the function, and run your code through the debugger. Then look at your code, and at your data and work out what should happen manually. Then single step each line checking that what you expected to happen is exactly what did. When it isn't, that's when you have a problem, and you can back-track (or run it again and look more closely) to find out why.
Sorry, but we can't do that for you - time for you to learn a new (and very, very useful) skill: debugging!