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Learn how to find the percent of increase or decrease in a quantity using the percent of change formula. Examples and practice exercises included. |

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  1. Transparency 4 Click the mouse button or press the Space Bar to display the answers.

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  3. Example 4-2c Objective Find the percent of increase or decrease

  4. Example 4-2c Vocabulary Percent of change A ratio that compares the change in a quantity to the original amount Final - Original Percent of change = Original

  5. Example 4-2c Vocabulary Percent of increase A percent of change when the original quantity increased Will have a positive change

  6. Example 4-2c Vocabulary Percent of decrease A percent of change when the original quantity decreased Will have a negative change

  7. Lesson 4 Contents Example 1Find Percent of Increase Example 2Find the Percent of Decrease

  8. Example 4-1a SHOPPINGLast year a sweater sold for $56. This year the same sweater sells for $60. Find the percent of change in the cost of the sweater. Last year This year Final - Original Write percent of change formula % of change = Original “this year” refers to final 60 60 - 56 % of change = 56 Replace “final” with 60 “last year” refers to original Replace “original” with 56 1/2

  9. Example 4-1a SHOPPINGLast year a sweater sold for $56. This year the same sweater sells for $60. Find the percent of change in the cost of the sweater. Final - Original Subtract the numerator % of change = Original Bring down denominator 60 - 56 % of change = 56 Divide numerator by denominator 4 . % of change = 56 Need a percent, so multiply by 100 and add the % sign % of change = 0.0714 Answer: The % is positive so it is an increase % of change = 7.14% 1/2

  10. Example 4-1c MOVIESLast year a DVD sold for $20. This year the same DVD sells for $24. Find the percent of change in the cost of the DVD. Answer: percent of increase = 20% 1/2

  11. Example 4-2a ATTENDANCEOn the first day of school this year, 435 students reported to Howard Middle School. Last year on the first day, 460 students attended. Find the percent of change for the first day attendance. this year Last year Write percent of change formula Final - Original % of change = Original 435 - 460 435 “this year” refers to final % of change = 460 Replace “final” with 435 “last year” refers to original Replace “original” with 460 2/2

  12. Example 4-2a ATTENDANCEOn the first day of school this year, 435 students reported to Howard Middle School. Last year on the first day, 460 students attended. Find the percent of change for the first day attendance. Subtract the numerator Final - Original % of change = Bring down denominator Original 435 435 - 460 Divide numerator by denominator % of change = 460 -25 . % of change = Need a percent, so multiply by 100 and add the % sign 460 % of change = - 0.0543 The % is negative so it is a decrease Answer: % of change = - 5.43% 2/2

  13. Example 4-2c * ANIMALSAt the beginning of the summer season, the local zoo reported having 385 animals in its care. At the beginning of last year’s summer season, the zoo had reported 400 animals. Find the percent of change in the number of animals at the zoo. Round to the nearest whole percent if necessary. Answer: percent of decrease = - 3.75% 2/2

  14. End of Lesson 4 Assignment

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