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2.7 – Percent of Change

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Percent Change: Change = x _ Original 100

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Percent Change: Change = x _ Original 100 Ex. 1 Determine whether each percent of change is a percent of increase or decrease. Then find the percent of change. a) Original: 20 New: 23

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Ex. 1 Determine whether each percent of change is a percent of increase or decrease. Then find the percent of change. a) Original: 20 New: 23 Change = x _ Original 100

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Ex. 1 Determine whether each percent of change is a percent of increase or decrease. Then find the percent of change. a) Original: 20 New: 23 Change = x _ Original 100 3 = x _ 20 100

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Ex. 1 Determine whether each percent of change is a percent of increase or decrease. Then find the percent of change. a) Original: 20 New: 23 Change = x _ Original 100 3 = x _ 20 100

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Ex. 1 Determine whether each percent of change is a percent of increase or decrease. Then find the percent of change. a) Original: 20 New: 23 Change = x _ Original 100 3 = x _ 20 100 20x =

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Ex. 1 Determine whether each percent of change is a percent of increase or decrease. Then find the percent of change. a) Original: 20 New: 23 Change = x _ Original 100 3 = x _ 20 100 20x = 300

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Ex. 1 Determine whether each percent of change is a percent of increase or decrease. Then find the percent of change. a) Original: 20 New: 23 Change = x _ Original 100 3 = x _ 20 100 20x = 300 20

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Ex. 1 Determine whether each percent of change is a percent of increase or decrease. Then find the percent of change. a) Original: 20 New: 23 Change = x _ Original 100 3 = x _ 20 100 20x = 300 20 x = 15; New greater than Orig., so INC

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Ex. 1 Determine whether each percent of change is a percent of increase or decrease. Then find the percent of change. a) Original: 25 New: 17

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Ex. 1 Determine whether each percent of change is a percent of increase or decrease. Then find the percent of change. a) Original: 25 New: 17 Change = x _ Original 100 8 = x _ 25 100 25x = 800 25 x = 32; New less than Orig., so DEC

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Ex. 2 Marta is purchasing wire and beads to make jewelry. Her merchandise is $28.62. If the tax is 7.25%, what is the total cost?

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Total Cost = Price + Tax of Price

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Ex. 2 Marta is purchasing wire and beads to make jewelry. Her merchandise is $28.62. If the tax is 7.25%, what is the total cost? Total Cost = Price + Tax of Price T = $28.62 + 7.25%($28.62)

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Ex. 2 Marta is purchasing wire and beads to make jewelry. Her merchandise is $28.62. If the tax is 7.25%, what is the total cost? Total Cost = Price + Tax of Price T = $28.62 + 7.25%($28.62) T = 28.62 + 0.0725(28.62)

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Ex. 2 Marta is purchasing wire and beads to make jewelry. Her merchandise is $28.62. If the tax is 7.25%, what is the total cost? Total Cost = Price + Tax of Price T = $28.62 + 7.25%($28.62) T = 28.62 + 0.0725(28.62) T = 28.62 + 2.07495

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Ex. 2 Marta is purchasing wire and beads to make jewelry. Her merchandise is $28.62. If the tax is 7.25%, what is the total cost? Total Cost = Price + Tax of Price T = $28.62 + 7.25%($28.62) T = 28.62 + 0.0725(28.62) T = 28.62 + 2.07495 T = 30.69495

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Ex. 2 Marta is purchasing wire and beads to make jewelry. Her merchandise is $28.62. If the tax is 7.25%, what is the total cost? Total Cost = Price + Tax of Price T = $28.62 + 7.25%($28.62) T = 28.62 + 0.0725(28.62) T = 28.62 + 2.07495 T = 30.69495 T = $30.69

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Ex. 3 Marta is purchasing a pair of jeans. The jeans cost $85. If they are on sale for 20% off, what is the total cost?

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Total Cost = Price – Discount of Price

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Ex. 3 Marta is purchasing a pair of jeans. The jeans cost $85. If they are on sale for 20% off, what is the total cost? Total Cost = Price – Discount of Price T = $85 – 20%($85) T = 85 – 0.2(85) T = 85 – 17 T = 68 T = $68

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Big Idea Many types of questions involving percents can be answered by solving an equation of the form ax = b Goal Solve three basic percent problems by.

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