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What is Percent of Change?

What is Percent of Change? . Percent of Change. Percent of Change: the amount, stated as a percent, that a number increases or decreases. Percent of Increase: The amount, stated as a percent, that a number goes up. Percent of Decrease: The amount, stated as a percent, that a number goes down.

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What is Percent of Change?

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  1. What is Percent of Change?

  2. Percent of Change • Percent of Change: the amount, stated as a percent, that a number increases or decreases. • Percent of Increase: The amount, stated as a percent, that a number goes up. • Percent of Decrease: The amount, stated as a percent, that a number goes down.

  3. Percent of Change • Percent of Change = amount of change original amount

  4. Finding Percent of Change • 27 is decreased to 20 • 27 – 20 = 7 • Percent of Change = amount of change original amount • Percent of Change = 7 27 • Percent of Change ≈ 0.259259 • Percent of Change ≈ 25.9%

  5. Finding Percent of Change • 32 is increased to 67 • 67 – 32 = 35 • Percent of Change = amount of change original amount • Percent of Change = 35 32 • Percent of Change ≈ 1.09375 • Percent of Change ≈ 109.4%

  6. Finding Percent of Change • 20 is decreased to 11 • 20 – 11 = 9 • Percent of Change = amount of change original amount • Percent of Change = 9 20 • Percent of Change ≈ 0.45 • Percent of Change ≈ 45%

  7. Finding Percent of Change • 42 is increased to 72 • 72 – 42 = 30 • Percent of Change = amount of change original amount • Percent of Change = 30 42 • Percent of Change ≈ 0.71428 • Percent of Change ≈ 71.4%

  8. Finding Percent of Change Your Turn… • 24 is increased to 30 • Percent of Change = amount of change original amount

  9. Finding Percent of Change Your Turn… • 56 is decreased to 14 • Percent of Change = amount of change original amount

  10. Finding Percent of Change Your Turn… • 105 is decreased to 32 • Percent of Change = amount of change original amount

  11. Finding Percent of ChangeWord Problems Zack Cole shot an 86 on the golf course on Monday. On Friday he shot a 95. What is the % of change? • 86 increased to 95 • Percent of Change = amount of change = 9 original amount 86 • Percent of Change = 10.5%

  12. Finding Percent of ChangeWord Problems Kelly Dyer became a great writer. She had a picnic each year to celebrate the date of her first published work. The 1st year 50 people came. The 2nd year 30 people came. What is the percent of change? • 50 decreased to 30 • Percent of Change = amount of change = 20 original amount 50 Percent of Change = 40%

  13. Finding Percent of ChangeWord Problems: Your Turn • Last six weeks Joseph Lawhorn made an 88. This six weeks he made a 92. Please figure the percent of change.

  14. Finding Percent of ChangeWord Problems: Your Turn • Angela Smyre became a famous architect. She made $90,000 in 2004. In 2005 she made $120,000. What is the percent of increase?

  15. Finding Percent of ChangeWord Problems: Your Turn • Amber Robinson became a foster mother, because she is so good with children. She took care of 8 children in 2003. In 2004 she had only 5. What is the percent of change?

  16. Using Percent of Change • When you know the percent of change, you can use an equation, or proportion to find the actual amount.

  17. Using Percent of Change • The regular price of a portable CD player at Edwin’s Electronics is $31.99. This week it is on sale for 25% off. Find the amount of the discount. • Part (is) = Part % Original Whole (100%) • x = 25 31.99 100 100x = 799.75 x = 7.9975 ≈ $8

  18. Using Percent of Change • The regular price of a portable CD player at Edwin’s Electronics is $31.99. This week it is on sale for 25% off. Now, Find the sale price. • x = 7.9975 ≈ $8 • $31.99 - $8.00 = $23.99 • The sale price is $23.99

  19. Using Percent of Change • The retail price of a pair of shoes is a 98% increase from its wholesale price. If the wholesale price is $12.50, what is the retail price? • Part = Part % Original Whole (100%) • x = 98 12.50 100 100x = 1225 x = $12.25

  20. Using Percent of Change • The retail price of a pair of shoes is a 98% increase from its wholesale price. If the wholesale price is $12.50, what is the retail price? • x = $12.25 • $12.50 + $12.25 = $24.75 • The retail price is $24.75

  21. Using Percent of Change • The regular price of a sweater is $42.99. It is on sale for 20% off. Find the amount of the discount and sale price. • Part = Part % Original Whole (100%) • x = 20 42.99 100 100x = 859.8 x = $8.598 ≈ $8.60

  22. Using Percent of Change • The regular price of a sweater is $42.99. It is on sale for 20% off. Find the amount of the discount and sale price. • x = $8.60 • $42.99 - $8.60 = $34.39 • The sale price is $34.39

  23. Using Percent of ChangeYour Turn • A backpack that usually sells for $39 is on sale for 33% off. Find the amount of the discount and the sale price.

  24. Using Percent of ChangeYour Turn • A sporting good store is having a closeout on a certain style of running shoes. They are marked 55% off the regular price. Find the amount of the discount and the sale price.

  25. Using Percent of ChangeYour Turn • A gallery owner purchased a very old painting for $3,000. The painting sells at a 325% increase in price. What is the retail price of the painting?

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