Answer:
If the student worked 21 hours this month, she will earn $246.75.
Step-by-step explanation:
<em>Let </em>
<em> equal hours.</em>
If the student earns $11.75 per hour, we can represent this with the expression:

If she worked 21 hours this month, then:

With that information, we can substitute
for
in the initial expression:

Multiply:

Therefore, if the student worked 21 hours this month, she will earn $246.75.
-
We can check our work by setting the initial expression equal to our solution:

Divide both sides of the equation by the coefficient of
, which is
:

Since this quotient matches the number of hours she worked, our solution is correct!