Question

1. original price of a book: $18.50

discount: 45%

Explanation:

To find the sale price or the discount amount, we can use the following steps:

Step 1: Calculate the discount amount

The discount is 45% of the original price. The formula for the discount amount (\(D\)) is:
\[
D = \text{Original Price} \times \text{Discount Rate}
\]
Given the original price (\(P\)) is \(\$18.50\) and the discount rate (\(r\)) is \(45\% = 0.45\).
\[
D = 18.50 \times 0.45
\]
\[
D = 8.325
\]
So the discount amount is \(\$8.325\) (or approximately \(\$8.33\)).

Step 2: Calculate the sale price

The sale price (\(S\)) is the original price minus the discount amount:
\[
S = P - D
\]
\[
S = 18.50 - 8.325
\]
\[
S = 10.175
\]
So the sale price is \(\$10.175\) (or approximately \(\$10.18\)).

If we were asked for the discount amount:

Answer:

The discount amount is \(\$8.325\) (or \(\$8.33\) when rounded to the nearest cent).

If we were asked for the sale price: