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What is Percent of Change? Common Examples of Percent of Increase Common Examples of Percent of Decrease Sales tax on an item purchased Items that are on sale at a store Finding a total bill at a restaurant including tip Population decreases

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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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Percent of Change Percent of Change = amount of change original amount

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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 ≈ Percent of Change ≈ 25.9%

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

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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%

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

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

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

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

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Finding Percent of Change Word 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%

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Finding Percent of Change Word Problems Kelly Dyer became a great writer. She had a picnic each year to celebrate the date of her first published work. The 1 st year 50 people came. The 2 nd 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%

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

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

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

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

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

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

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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 = x = 1225 x = $12.25

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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 $ $12.25 = $24.75 The retail price is $24.75

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

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

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

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Using Percent of Change Your 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.

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Using Percent of Change Your 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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