Since Hong made 162 dollars for 9 hours of work, we can set up the proportion:
162 dollars / 9 hours = x dollars / 13 hours
where x is the amount of money Hong would make for 13 hours of work.
To solve for x, we can cross-multiply and simplify:
162 dollars × 13 hours = 9 hours × x dollars
2106 = 9x
x = 234
Therefore, at the same rate, Hong would make 234 dollars for 13 hours of work.