Marisol finances a sports car for $27,100 by taking out an installment loan for 36 months. The payments were $978.61 per month and the total finance charge was $8,129.96. After 22 months, Marisol decided to pay off the loan. After calculating the finance charge rebate, find her loan payoff amount.

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To find the loan payoff amount after 22 months, we first calculate the total amount Marisol would have paid over the 36 months, then subtract the payments she has already made, and finally, adjust for the finance charge rebate.1. Total amount to be paid over 36 months = Monthly payment * Number of payments = $978.61 * 36 = $35,229.96.2. Total finance charge = $8,129.96.3. Principal amount = Total amount - Finance charge = $35,229.96 - $8,129.96 = $27,100 (which matches the loan amount, as expected).4. Payments made in 22 months = Monthly payment * 22 = $978.61 * 22 = $21,529.42.5. Remaining balance without considering the rebate = Total amount to be paid over 36 months - Payments made = $35,229.96 - $21,529.42 = $13,700.54.6. To calculate the finance charge rebate, we use the Rule of 78s or a similar method, but since the exact method of calculating the rebate isn't provided, we'll assume the rebate has already been factored into the given options. The key here is understanding that the remaining balance after 22 months isn't simply the remaining principal because the finance charge for the unused portion of the loan term is typically rebated.Given the options, and knowing that the remaining balance without considering the rebate is $13,700.54, the only option that is less than this (and thus accounts for a rebate of the finance charge) is $12,418.79. This suggests that the finance charge rebate has been subtracted from what would have been the remaining balance to arrive at the payoff amount.

Marisol Finances a Sports Car for $27,100 by Taking Out