To determine the interest rate the consumer will qualify for if they raise their credit score by 60 points, follow these steps:
1. Identify the initial credit score of the consumer:
- The consumer's initial credit score is [tex]\(645\)[/tex].
2. Calculate the new credit score after the improvement:
- The consumer plans to raise their credit score by [tex]\(60\)[/tex] points.
- New credit score [tex]\(= 645 + 60\)[/tex]
- New credit score [tex]\(= 705\)[/tex]
3. Determine the interest rate based on the new credit score using the provided table:
- Look at the range that includes the new credit score [tex]\(705\)[/tex].
- According to the table, a FICO score range of [tex]\(670-739\)[/tex] qualifies for an interest rate of [tex]\(8.132\%\)[/tex].
So, if the consumer raises their credit score by [tex]\(60\)[/tex] points to [tex]\(705\)[/tex], they will qualify for an interest rate of [tex]\(8.132\%\)[/tex].
Thus, the correct answer is:
[tex]\[8.132\% \][/tex]
