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

1 answer

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.