Answer:
Either 55.56 or 47.222 hours, depending on how the qyuestion is interpreted. The first answer assumes that Jessica's existing savgings of $75 is not available for emergencies.
Explanation:
The question is difficult to answer. It doesn't specify that the $75 counts agains the $500. It simply asks how many hours of work does she need to earn $500.
Jessica is paid $9/hr, so her earnings (y, in $) are described by the formula: x hours at :
y = ($9/hr)*x
If we set y = $500:
$500 = ($9/hr)*x
x = $500/($9/hr)
x = 55.56 hours.
However, if we set y = $500 - $75, the Jessica only needs to work:
$425 = ($9/hr)*x
x = $425/($9/hr)
x = 47.222 hours