Where would you post a finance charge? Would you post it the expense account which you are using to pay the bill? For instance, you are paying a food bill late and they assess a fee, would you charge the fee to food? Or to Bank Fees? Or something else?

It is an Expense.

Post it to the appropriate Expense Account. If none you can post this to a Misc Expense Account.

You will need to look at the Chart of Accounts for your company to figure out what Expense to Debit. The Credit will be to Cash.

Sorry, that does not help me. Would you debit the food expense in my example or bank fees expense? I know it is an expense. My question is what do you think is appropriate?

If it is a Bank Service charge then it is posted as Follows:

Debit Bank Service Charges Expense (or Misc Expense)
Credit Cash