Q17. - Algebra 1

Question

A store is offering a $\mathbf{\backslash (}\mathbf{15}$ mail-in-rebate on all printers. If Mark is looking at printers that range from $\mathbf{\backslash )}\mathbf{45}$ to $\mathbf{\$}\mathbf{89}$, how much can he expect to pay?

Step-by-Step Solution

Answer

Mark can expect to pay in the range of $\mathit{\$}\mathbf{30}\mathbf{-}\mathit{\$}\mathbf{74}$.

Step 1. Explain the concept of mail-in-rebate.

A portion of a sum paid, returned to the purchaser, as a method of discounting. The rebate is sometimes returned by the manufacturer, after the full price is paid to the retailer by the purchaser.

Step 2. Calculate the range of payment.

The strategy is to find the price for which can be expected to pay for the printers that ranges from $\$45$ to $\$89$.

The lowest price in the range is $\$45$.

Therefore, the price after $\$15$ rebate will be

$\mathrm{\$}45-\mathrm{\$}15=\mathrm{\$}30$

The highest price in the range is$\$89$.

Therefore, the price after$\$15$rebate will be

$\mathrm{\$}89-\mathrm{\$}15=\mathrm{\$}74$.

Step 3. State the conclusion.

From the above step see that the lowest price after rebate is $\$30$ and highest price after rebate is $\$74$.

Hence, the pay range after mail-in-rebate is $\mathrm{\$}30-\mathrm{\$}74$.