how many hours must darcey work at $13.50per hour to earn $472.50=

Darcy must work 35 hours (472.5 divided by 13.5)

correct.

To determine the number of hours that Darcey needs to work at $13.50 per hour to earn $472.50, we can use the formula:

Total earnings = Hourly rate * Number of hours worked

We need to rearrange the formula to solve for the number of hours:

Number of hours worked = Total earnings / Hourly rate

Substituting the given values, we have:

Number of hours worked = $472.50 / $13.50

Now we can calculate:

Number of hours worked = 35 hours

Therefore, Darcey must work for 35 hours at $13.50 per hour to earn $472.50.