Answer:
If the student worked 21 hours this month, she will earn $246.75.
Step-by-step explanation:
Let [tex]x[/tex] equal hours.
If the student earns $11.75 per hour, we can represent this with the expression:
[tex]11.75x[/tex]
If she worked 21 hours this month, then:
[tex]x=21[/tex]
With that information, we can substitute [tex]21[/tex] for [tex]x[/tex] in the initial expression:
[tex]11.75(21)[/tex]
Multiply:
[tex]246.75[/tex]
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:
[tex]11.75x=246.75[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]11.75[/tex]:
[tex]x=21[/tex]
Since this quotient matches the number of hours she worked, our solution is correct!
