Question

The price of a new pair of shoes is $52.00. If you order them directly from the company on the internet, you can save money and the price is only $42.64. What is the percent change?

18% increase

22% increase

18% decrease

22% decrease

Answer 1

To find the percent change in price when ordering the shoes from the company, you can use the percent change formula:

\[
\text{Percent Change} = \frac{\text{New Price} - \text{Old Price}}{\text{Old Price}} \times 100
\]

In this case:
- Old Price = $52.00
- New Price = $42.64

Now, plug in the values:

\[
\text{Percent Change} = \frac{42.64 - 52.00}{52.00} \times 100
\]

Calculating the numerator:

\[
42.64 - 52.00 = -9.36
\]

Now substitute back into the formula:

\[
\text{Percent Change} = \frac{-9.36}{52.00} \times 100
\]

Calculating the division:

\[
\frac{-9.36}{52.00} \approx -0.180769
\]

Now multiply by 100 to get the percent:

\[
-0.180769 \times 100 \approx -18.08
\]

So the percent change is approximately -18%.

This indicates an 18% decrease.

Therefore, the correct answer is: **18% decrease**.