To find out how many hours the hourly employee needs to work to make the same weekly earnings as the salaried employee, you can set up the equation based on their earnings.
The salaried employee makes $428 per week, and the hourly employee earns $15 per hour.
Let \( h \) be the number of hours the hourly employee works.
The equation can be set up as:
\[ 15h = 428 \]
To solve for \( h \), divide both sides by 15:
\[ h = \frac{428}{15} \approx 28.53 \]
Rounding to one decimal place, the hourly employee needs to work about 28.5 hours to make the same weekly earnings as the salaried employee.
So the answer is: about 28.5 hours.