The algebraic expression representing the total amount Hannah will bring home is $(10.25H - 4), where H is the hours she spent at work.
What are algebraic expressions?
An algebraic expression is a combination of terms consisting of variables and constants, separated by mathematical operations (addition, subtraction, multiplication, and division).
How do we solve the given question?
In the question, we are informed that Hannah earns $10.25 an hour, H at her job at target. She spends $4 each day on gas getting 2 and from work.
We are asked to write an algebraic expression that represents the total amount Hannah will bring home each day.
We know that the total amount she will bring will be equal to her total earnings minus her total expenditure.
Assume the number of hours she works = H.
Hannah's earning in 1 hour = $10.25
∴ Her total earnings = $10.25*H
Her total expenditure given = $4 (spent on gas getting to and from work).
∴ The total amount she will bring home each day = $10.25*H - $4.
∴ The algebraic expression representing the total amount Hannah will bring home is $(10.25H - 4), where H is the hours she spent at work.
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