15% tax is imposed on a product, and $2.5 is added as an additional cost. Form an expression for the total cost of the product.

Question

1.15x + 2.5
1.10x + 2.5
1.25x + 2.4
1.16x + 3.5

Answer 1

To form the expression for the total cost of the product, let's break down the components:

1. Let's denote the original price of the product as \( x \).
2. A 15% tax means we need to find 15% of \( x \) and add this to the original price. The tax can be expressed as \( 0.15x \).
3. The total cost after tax becomes \( x + 0.15x \) which simplifies to \( 1.15x \).
4. Additionally, there is a cost of $2.5 added to the total.

Therefore, the total cost expression will be: \[ 1.15x + 2.5 \]

Among the options provided:

• 1.15x + 2.5 is the correct expression.
• 1.10x + 2.5, 1.25x + 2.4, and 1.16x + 3.5 do not represent the correct calculation.

So the answer is: \[ \mathbf{1.15x + 2.5} \]