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The original price refers to the initial amount set for a product before any discounts are applied. In this case, the cell phone's original price is given as \( \$75.00 \). This price represents the full cost you would pay under normal circumstances, without any promotions or markdowns.

This value is important because it serves as the baseline or reference point for calculating any reductions, like discounts. When an item is offered at a discount, the discount amount is subtracted directly from the original price. It's crucial for setting the discount percentage too, since this percentage reflects how much of the original price is being reduced.

Determining the original price of an item is the first step in figuring out how much you'll ultimately pay after applying discounts. Always ensure you know this figure before proceeding with any further calculations.

The discount amount is the part of the original price that is shaved off due to a promotional offer. To calculate it, you need to multiply the original price by the discount percentage. However, remember that percentages must be converted to decimals for calculation:

• Convert the percentage by dividing it by \(100\).
• In this situation, a \(15\%\) discount converts to \(0.15\) as a decimal.
• Multiply the decimal by the original price to find the discount amount.

For our cell phone example:\[\text{Discount amount} = 75 \times 0.15 = \\(11.25\]
Thus, the cell phone's price will be reduced by \(\\)11.25\). This calculated discount amount is crucial because it tells you exactly how much cost is being subtracted. Ensuring the accuracy of this calculation is key to determining the correct new price.

Once you have the discount amount, you can easily determine the new price you will actually pay. The new price is computed by subtracting the discount amount from the original price. This process is straightforward but vital to ensure that you understand the exact payment you need to make.

In our example with the \(\\(75.00\) original price and the calculated discount of \(\\)11.25\), the calculation for the new price is:\[\text{New price} = 75 - 11.25 = \\(63.75\]
Thus, after applying the discount, the sale price of the cell phone drops to \(\\)63.75\). This final step completes the process, giving you the amount you need to pay post-discount.

Calculating the new price effectively helps in budgeting and allows you to compare products more precisely, knowing exactly how much you're saving.