The equation representing the given situation is <u>10.75h - 13.00 = 100.75</u>.
In the question, we are given that Jada has time on the weekends to earn some money. A local bookstore is looking for someone to help sort books and will pay $10.75 an hour. To get to and from the bookstore on a work day, however, Jada would have to spend $6.50 on bus fare.
We are asked to write an equation to represent the situation of a day when Jada takes home $100.75 after working h hours and after paying the bus fare.
The time Jada works for = h hours.
The per-hour rate = $10.75.
Thus, the amount Jada earns after working for h hours = $10.75h.
Jada's bus fare to and from the bookstore = $6.50.
Since a weekend has two days, he will be visiting the store twice a week, thus we will take two times the bus fare, that is, $6.50*2 = $13.00.
Thus, Jada's total earnings on the day after working for h hours and paying the bus fare = $(10.75h - 13.00).
But, we are given that Jada takes home $100.75 after working h hours and after paying the bus fare.
Thus, equating the two quantities, we get the equation as:
10.75h - 13.00 = 100.75.
Thus, the equation representing the given situation is <u>10.75h - 13.00 = 100.75</u>.
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