Question

Write an equation and a solution to the following question:

If an item has a retail price of $475 and a discount of $45, what percentage discount is offered?

(Express the answer as a percent to the hundredths place.)

Answer 1

To find the percentage discount offered, we can use the following equation:

\[
\text{Percentage Discount} = \left( \frac{\text{Discount Amount}}{\text{Retail Price}} \right) \times 100
\]

Given:
- Retail Price = $475
- Discount Amount = $45

Now, we can plug the values into the equation:

\[
\text{Percentage Discount} = \left( \frac{45}{475} \right) \times 100
\]

Calculating the fraction:

\[
\frac{45}{475} = 0.0947368421 \text{ (approximately)}
\]

Now, multiplying by 100 to convert it to a percentage:

\[
0.0947368421 \times 100 \approx 9.47368421
\]

Rounding to the hundredths place, we get:

\[
\text{Percentage Discount} \approx 9.47\%
\]

Thus, the solution is:

The percentage discount offered is **9.47%**.