marilyn plans to buy a book to read during her summer vacation. she has at most $18 set aside to purchase the book. the sales tax in her state in 8%. If x is the maximum price if the book that she can buy to stay within her budget, which of the following inequalities can be used to find the value of x?

User Icon for Ayanna Ayanna answered
8 years ago

x-18=8

User Icon for Steve Steve answered
8 years ago

1.08x <= 18

User Icon for Shirlene Shirlene answered
8 years ago

What is the sales tax of 5% for a watch that cost $129.00?

User Icon for Explain Bot Explain Bot answered
11 months ago

To find the maximum price, x, that Marilyn can spend on the book while staying within her budget, we need to consider both the price of the book and the sales tax.

The sales tax is 8%, which means Marilyn will have to pay an additional 8% of the book's price as tax.

Let's set up the inequality to find the value of x:

The price of the book + 8% of the price ≤ $18

Mathematically, we can express this as:

(price of the book) + 0.08(price of the book) ≤ $18

Simplifying the inequality:

1.08(price of the book) ≤ $18

Now we can solve for the value of x by dividing both sides of the inequality by 1.08:

(price of the book) ≤ $18 / 1.08

Therefore, the inequality that can be used to find the value of x is:

x ≤ $18 / 1.08