To determine Bob's total finance charge over the course of his loan, we follow these steps:
1. Identify the monthly payment per [tex]$1,000 of principal for a 4-year term at 6.5% interest rate:
From the table, the monthly payment per $[/tex]1,000 for a 4-year term at 6.5% interest is [tex]$23.71.
2. Calculate the monthly payment for Bob's loan:
Bob's loan amount is $[/tex]15,000. To find the monthly payment, multiply the loan amount in thousands by the monthly payment rate:
[tex]\[
\text{Monthly Payment} = \left(\frac{15,000}{1,000}\right) \times 23.71 = 15 \times 23.71 = \$355.65
\][/tex]
3. Calculate the total amount paid over the course of the loan:
Since the loan term is 4 years, which is 48 months, multiply the monthly payment by the number of months to get the total amount paid:
[tex]\[
\text{Total Amount Paid} = 355.65 \times 48 = \$17,071.20
\][/tex]
4. Determine the total finance charge:
The finance charge is the difference between the total amount paid and the principal loan amount. Subtract the original loan amount from the total amount paid:
[tex]\[
\text{Finance Charge} = 17,071.20 - 15,000 = \$2,071.20
\][/tex]
Therefore, Bob's total finance charge over the course of his loan is:
[tex]\[
\boxed{\$2,071.20}
\][/tex]
So, the correct answer is:
D. \$2,071.20
