The closest to the maximum possible price per textbook that Sophia could pay based on this budget, including the sales tax of 5%, is $7.13.
How to solve
To determine the maximum possible price per textbook that Sophia could pay, we first need to calculate the total sales tax amount.
Sales tax amount = 5% * $600 = $30
Now, we subtract the sales tax amount from the total budget to find the remaining amount Sophia has to spend on textbooks.
Remaining amount = $600 - $30 = $570
Now, divide the remaining amount by the number of textbooks to find the maximum possible price per textbook.
Maximum price per textbook = $570 / 80 textbooks = $7.125
Since we are asked for the closest option to the maximum price, we round $7.125 up to the nearest cent, which is $7.13.
Therefore, the closest to the maximum possible price per textbook that Sophia could pay based on this budget, including the sales tax of 5%, is $7.13.
The Complete Question
Sophia plans to buy 80 textbooks for her class with a total budget of $600. Which of the following is the closest to the maximum possible price per textbook that Sophia could pay based on this budget, including the sales tax of 5%?
A) $7.13
B) $7.75
C) $7.90
D) $7.88