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Chapter 3: Solving Equations

Chapter 3: Solving Equations. 3.7 Percent of Change. Percent of Change. Percent of Increase When a value increases from its original amount Percent of Decrease When a value decreases from its original amount. Example 1.

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Chapter 3: Solving Equations

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  1. Chapter 3: Solving Equations 3.7 Percent of Change

  2. Percent of Change • Percent of Increase • When a value increases from its original amount • Percent of Decrease • When a value decreases from its original amount

  3. Example 1 • The price of a sweater decreased from $29.99 to $24.49. Find the percent of decrease.

  4. 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.

  5. 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.

  6. 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?

  7. 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.

  8. Greatest Possible Error • One half of a measuring unit

  9. 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?

  10. Example 3a • You measure a picture for the yearbook and record its height as 9 cm. What is your greatest possible error?

  11. 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.

  12. 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.

  13. Percent Error • Percent error = greatest possible error measurement

  14. Example 5 • Suppose you measure a CD and record its diameter as 12.1 cm. Find the percent error in your measurement.

  15. Example 5a • You measure the length of a table as 168 inches. Find the percent error in this measurement.

  16. Example 5b • You measure the length of a table as 168.0 inches. Find the percent error in this measurement.

  17. 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.

  18. 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.

  19. Homework • P. 171 • 2-38 even

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