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PERCENT CHANGE Unit 6 Math 7 Percent of Change Important Vocabulary: Percent of Change – Amount a quantity increases or decreases from its original amount To Find Percent of Change – amountof change 100 originalamount Percent of Change Percent Increase – Examples Find the percent change from 4 to 7.5 Find the difference of the two amounts: 7 .5 4 Calculate 3 .5 the percent of increase: 3.5 0.875 100 87 .5% 4 There was an 87.5% increase. Percent of Change Percent Increase – Examples Find the percent increase from 8 to 9.6 Find the difference of the two amounts: 9 .6 8 Calculate 1.6 8 1 .6 the percent of increase: 0 .2 100 20 % There was a 20% increase. Percent of Change Percent Increase – Examples Find the percent increase from 100 to 114 Find the difference of the two amounts: 114 100 14 Calculate 14 100 the percent of increase: 0.14 100 14 % There was a 14% increase. Percent of Change Percent Increase – Examples Find the percent increase from 2 to 3.2 Find the difference of the two amounts: 3 .2 2 Calculate 1.2 2 1 .2 the percent of increase: 0 .6 100 60 % There was a 60% increase. Percent of Change Percent Decrease– Examples Find the percent decrease from 1,250 to 1,120 Find the difference of the two amounts: 1,120 1,250 130 Calculate the percent of decrease: - 130 0.104 1,250 100 10.4% There was a 10.4% decrease. Percent of Change Percent Decrease– Examples Find the percent decrease from 9.6 to 4.8 Find the difference of the two amounts: 4 .8 9 . 6 Calculate - 4.8 9.6 4 .8 the percent of decrease: 0 .5 100 50% There was a 50% decrease. Percent of Change Percent Decrease– Examples Find the percent decrease from 120 to 95 Find the difference of the two amounts: 95 120 Calculate 25 the percent of decrease: - 25 0.2083 100 20.83% 120 There was a 20.83% decrease. Percent of Change Percent Change – Examples In a given year, Hillsborough had a total of 7.5 inches of rain by March 1 and a total of 22.5 inches by July 1. Find the percent of increase from 7.5 to 22.5. Find the difference of the two amounts: 22.5 7.5 Calculate 15 7.5 15 the percent of increase: 2 .0 100 200 % There was a 200% increase in rain between March and July. Percent of Change Percent Change – Examples The average cost of a gallon of gasoline increased to $2.99 per gallon from $2.85. Find the percent change. Find the difference of the two amounts: 2.99 2.85 .14 Calculate .14 2.85 the percent change: 0.049 100 4.9% There was a 4.9% increase in gasoline prices.