Final answer:
Kyle would pay the least amount of interest on a loan with a 15% interest rate over 6 months (Option d), amounting to $262.50, as it is less than the interest he would pay on the other loan options provided.
Step-by-step explanation:
To figure out for which loan Kyle would pay the least amount of interest, we must calculate the total interest for each option.
- Option a: 12% interest over 2 years would be $3,500 x 0.12 x 2 = $840.
- Option b: 10% interest over 1 year would be $3,500 x 0.10 x 1 = $350.
- Option c: 8% interest over 3 years would be $3,500 x 0.08 x 3 = $840.
- Option d: 15% interest over 6 months (assuming simple interest and annual rate) would be $3,500 x 0.15 x 0.5 = $262.50.
Comparing these amounts, the loan Kyle would pay the least amount of interest on is Option d, 15% interest over 6 months.