Answer:

A person should work 32 hours to earn $384
Explanation:
A worker's earring E are a function of the number of hour, H at a rate of 12/hr.
We need to write the function.
The function will be:
Earning is represented by E and Hour is represented by H

Now, How many hours would a person have to work to earn 384
We are given E=384, we need to find H
Putting values in above function and finding hours H

So, A person should work 32 hours to earn $384