Final answer:
Rachel would make $234 for 13 hours of work.
Step-by-step explanation:
To find out how much Rachel would make for 13 hours of work at the same rate, we can set up a proportion using the given information:
Amount earned / Number of hours = Amount earned / Number of hours
Using the given values, we have:
$162 / 9 hours = x / 13 hours
Cross-multiplying, we get:
9x = $162 * 13
Simplifying, we have:
9x = $2,106
To solve for x, we divide both sides of the equation by 9:
x = $2,106 / 9
Calculating, we get:
x = $234
Therefore, Rachel would make $234 for 13 hours of work.