To find the annual percentage rate (APR) for a 36-month loan that charges [tex]$24.80 per every $[/tex]100 financed, we can refer to the provided table. Here’s the detailed step-by-step process for finding the correct APR:
1. Identify the Target Value: We are interested in the 36-month column value that matches [tex]$24.80.
2. Scan the 36-month Row: Look through the row corresponding to the 36-month loan to find the value of $[/tex]24.80.
[tex]\[
\begin{array}{|c|c|c|c|c|c|c|c|c|c|}
\hline \text{APR (\%)} & 11 & 11.5 & 12 & 12.5 & 13 & 13.5 & 14 & 14.5 & 15 \\
\hline \text{36 months} & 17.86 & 18.71 & 18.57 & 20.43 & 21.30 & 22.17 & 23.04 & 23.92 & 24.80 \\
\hline
\end{array}
\][/tex]
3. Find the Matching APR: In the 36-month row, the value [tex]$24.80 corresponds to the column under the 15% APR.
4. Conclusion: The annual percentage rate (APR) for a 36-month loan that charges $[/tex]24.80 per every $100 financed is [tex]\( \boxed{15\%} \)[/tex].
Hence, the correct answer to the question is:
[tex]\[ \text{c. } 15\% \][/tex]