Question

noahs purchase can be modeled by the equation:
$x - 0.1x + 2.70 = 56.70$

1. discuss with a partner:

a. what does the solution to the equation mean in this situation?

Explanation:

The equation \(x - 0.1x+2.70 = 56.70\) is a mathematical model for Noah's purchase. Here, \(x\) likely represents the original price of an item. The term \(0.1x\) could be a discount (10% off), and \(2.70\) might be a fixed - cost (like tax or a service fee). Solving for \(x\) would give the original price of the item before the discount (since after applying the discount and adding the fixed cost, the total is \(56.70\)).

Answer:

The solution of the equation \(x\) represents the original price of the item that Noah purchased.