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Chapter 3: Solving Equations 3.7 Percent of Change
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Percent of Increase – When a value increases from its original amount Percent of Decrease – When a value decreases from its original amount
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Example 1 The price of a sweater decreased from $29.99 to $24.49. Find the percent of decrease.
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Example 1a Find the percent of change if the price of a CD increases from $12.99 to $13.99. Round to the nearest percent.
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Example 1b Find the percent of change if the CD is on sale, and its price decreases from $13.99 to $12.99. Round to the nearest percent.
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Example 2 In 1990, there were 1330 registered alpacas in the US. By the summer of 2000, there were 29,856. What was the percent of increase in registered alpacas?
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Example 2a The number of alpaca owners increased from 146 in 1991 to 2919 in 2000. Find the percent of increase. Round to the nearest percent.
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Greatest Possible Error One half of a measuring unit
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Example 3 You use a beam balance to find the mass of a rock sample for a science lab. You read the scale as 3.8 g. What is your greatest possible error?
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Example 3a You measure a picture for the yearbook and record its height as 9 cm. What is your greatest possible error?
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Example 4 You measure a room with dimensions of 13 ft and 7 ft. Use the greatest possible error to find the maximum and minimum possible areas.
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Example 4a You measure a wall of your room as 8 ft high and 12 ft wide. Find the minimum and maximum possible areas of the wall.
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Percent Error Percent error = greatest possible error measurement
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Example 5 Suppose you measure a CD and record its diameter as 12.1 cm. Find the percent error in your measurement.
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Example 5a You measure the length of a table as 168 inches. Find the percent error in this measurement.
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Example 5b You measure the length of a table as 168.0 inches. Find the percent error in this measurement.
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Example 6 A cassette case is 10.9 cm long, 6.8 cm wide, and 1.6 cm thick. Find the percent error in calculating its volume.
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Example 6a Suppose you measured your math book and recorded the dimensions as 1 in x 9 in x 10 in. Find the percent error in calculating its volume.
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Homework P. 171 2-38 even
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