To pay for a \( \$ 15,900 \) truck, Miguel made a down payment of \( \$ 3800 \) and took out a loan for the rest. On the loan, he paid monthly payments of \( \$ 217.43 \) for 5 years. (a) What was the total amount Miguel ended up paying for the truck (including the down payment and monthly payments)? (b) How much interest did Miguel pay on the loan? \( 5 \square \)

Miguel's truck purchase can be broken down into two parts: the down payment and the financed amount (paid through monthly payments). 1. First, compute the amount he needed to finance:   Truck cost = $15,900   Down payment = $3,800   Loan principal = $15,900 − $3,800 = $12,100 2. Next, determine the total amount paid on the loan:   Monthly payment = $217.43   Number of months = 5 years × 12 months/year = 60 months   Total paid on loan = $217.43 × 60 = $13,045.80 3. (a) Total amount paid for the truck:   Total = Down payment + Total paid on loan   Total = $3,800 + $13,045.80 = $16,845.80 4. (b) Interest paid on the loan:   Interest = Total paid on loan − Loan principal   Interest = $13,045.80 − $12,100 = $945.80 Thus, (a) The total amount paid for the truck was $16,845.80. (b) Miguel paid $945.80 in interest on the loan.