Question

directions: drag the tiles to the correct boxes to complete the pairs. not all tiles will be used.
match each set of prices with the correct percent of increase or decrease.
12.4% decrease 11% increase 7.4% increase 11% decrease
9.9% increase 8.7% decrease 8% decrease 8% increase
original price: $37.50
new price: $34.50
original price: $98.00
new price: $108.78
original price: $63.00
new price: $56.07
original price: $12.25
new price: $13.23

Explanation:

To find the percent of increase or decrease, we use the formula:
Percent change = \(\frac{\text{New Price} - \text{Original Price}}{\text{Original Price}} \times 100\%\)

1. Original: \$37.50, New: \$34.50

Step1: Calculate change

\(34.50 - 37.50 = -3.00\) (decrease)

Step2: Apply formula

\(\frac{-3.00}{37.50} \times 100\% = -8\%\) (8% decrease)

2. Original: \$98.00, New: \$108.78

Step1: Calculate change

\(108.78 - 98.00 = 10.78\) (increase)

Step2: Apply formula

\(\frac{10.78}{98.00} \times 100\% = 11\%\) (11% increase)

3. Original: \$63.00, New: \$56.07

Step1: Calculate change

\(56.07 - 63.00 = -6.93\) (decrease)

Step2: Apply formula

\(\frac{-6.93}{63.00} \times 100\% = -11\%\) (11% decrease)

4. Original: \$12.25, New: \$13.23

Step1: Calculate change

\(13.23 - 12.25 = 0.98\) (increase)

Step2: Apply formula

\(\frac{0.98}{12.25} \times 100\% = 8\%\) (8% increase)

Answer:

• Original \$37.50 → New \$34.50: 8% decrease
• Original \$98.00 → New \$108.78: 11% increase
• Original \$63.00 → New \$56.07: 11% decrease
• Original \$12.25 → New \$13.23: 8% increase