To solve for the total finance charge over the course of Bob's loan, we need to follow these steps:
1. Identify the monthly payment:
- We know the loan amount is [tex]$15,000.
- The term is 4 years (48 months).
- The interest rate is 6.5%.
- From the provided amortization table, the monthly payment per $[/tex]1,000 for a 4-year term at 6.5% is [tex]$23.71.
We use this information to find the monthly payment amount:
\[
\text{Monthly Payment} = 23.71 \, (\text{per } \$[/tex]1,000) \times \frac{15,000}{1,000} = 23.71 \times 15 = 355.65
\]
2. Calculate the total payment over the 4-year term:
- We multiply the monthly payment by the number of months in the term (48 months):
[tex]\[
\text{Total Payment} = 355.65 \times 48 = 17,071.20
\][/tex]
3. Determine the total finance charge:
- The total finance charge is the difference between the total payment and the original loan amount:
[tex]\[
\text{Total Finance Charge} = 17,071.20 - 15,000 = 2,071.20
\][/tex]
Given these calculations, the correct answer to the total finance charge over the course of Bob's loan is:
[tex]\[ \boxed{2,071.20} \][/tex]
Therefore, option:
[tex]\[ \text{D. } \$ 2,071.20 \][/tex]
is the correct answer.
