Answer:
If the student worked 21 hours this month, she will earn $246.75.
Explanation:
Let
equal hours.
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.
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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!