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The equation given is:

\[
y = x + 0.08x
\]

where:
- $ y $ is the final cost of the item.
- $ x $ is the price of the item before tax.
- $ 0.08x $ represents the 8% sales tax.

To describe the price of the item $ x $ in terms of the final cost $ y $, we need to solve this equation for $ x $.

### Step-by-Step Solution:

1. Start with the given equation:
   \[
   y = x + 0.08x
   \]

2. Factor $ x $ out from the right side:
   \[
   y = x(1 + 0.08)
   \]

3. Simplify the expression in the parentheses:
   \[
   y = x(1.08)
   \]

4. To isolate $ x $, divide both sides by 1.08:
   \[
   x = \frac{y}{1.08}
   \]

So, the price of the item $ x $ in terms of the final cost $ y $ is:

\[
x = \frac{y}{1.08}
\]

This equation tells us that to find the original price of the item before tax, we need to divide the final cost by 1.08.

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### Related Questions:
1. What would the equation look like if the sales tax was 10% instead of 8%?
2. How would you calculate the sales tax amount if only the final cost is given?
3. If an item costs $50 before tax, what is the final cost including the 8% sales tax?
4. How would the equation change if there were an additional fixed fee added to the final cost?
5. What is the percentage increase in the price of an item if the sales tax is doubled?

**Tip:** Remember, when reversing calculations involving percentages, you often need to divide by the percentage factor instead of multiplying.

The sales tax in a certain town is 8%. The equation below can be used to determine y, the final cost of an item, based on x, the price of the item. Rewrite the equation to describe the price of the item in terms of the final cost. Show your work.

Learn how to calculate the original price of an item based on the final cost, factoring in an 8% sales tax. This problem involves algebraic manipulation to solve equations and is suitable for students in Grades 7-9.

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