Final answer:
If you work 15 hours at the given rate, you will make $155.25.
Step-by-step explanation:
To find out how much you will make if you work 15 hours at the given rate, we can set up a proportion using the given information:
$414 earned in 40 hours → x earned in 15 hours
Cross-multiplying we get: 414 * 15 = 40 * x
Dividing both sides by 40, we get: x = (414 * 15) / 40
Calculating this expression, we find that you will make $155.25 if you work 15 hours at this rate.