Hello there! :D
We know that Caleb has two options:
Let's say that Option A is taking the new job, and Option B is solving for the new one. We know that Option A will leave him with $28,000. Let's do some math to see how much he would make with Option B.
We can do this by calculating how many ours he would work in one year and multiplying that by $11.15.
So, we have 44 hours a week. There are 52 weeks in a year.
52*44= 2288
Now, we can mutltiply that by his hourly wage.
2288*11.15=$25,511.2
Let's see how much time it would take to make the same amount of money since he is allowed to work overtime at half price:
Subtract the amount he makes in Option A by Option B:
28,000-25,511.2= 2488.8
Now we need to divide his hourly wage in half, because he gets paid half as much for overtime (I am assuming the wording is weird here).
11.15/2= 5.575
Now we can find out how many hours he needs to do per year to make the same amount.
2488.8/5.575=432.834 hours
Per week that is 8.3 extra hours! (Sounds like a lot of work)
If I was Caleb, I would take the new job offer, because it is unlikely that he will make much more in his current job.
I hope this helped you and that you have a wonderful day,
Kai xx