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? \( 5 \square \)

To find the total amount Miguel ended up paying for the truck, we first calculate the total paid through the loan. Miguel made 5 years' worth of monthly payments, equating to \( 5 \times 12 = 60 \) months. Thus, his total loan payments amount to \( 217.43 \times 60 = 13,045.80 \). Adding the down payment of \( 3,800 \), the total cost of the truck becomes \( 13,045.80 + 3,800 = 16,845.80 \). Now, to determine how much interest Miguel paid on the loan, we first need to find the initial loan amount. The total cost of the truck was \( 15,900 \), and with the down payment of \( 3,800 \), he borrowed \( 15,900 - 3,800 = 12,100 \). The interest paid on the loan is then computed as \( 13,045.80 - 12,100 = 945.80 \). In summary, Miguel’s total expenditure on the truck is \( 16,845.80 \) and the interest paid on his loan is \( 945.80 \).