1. Percent of Increase and Decrease 6-5 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

2. Percent of Increase and Decrease 6-5 Warm Up 1. 14,000 is 2 % of what number? 2. 39 is 13% of what number? 3. 37 % of what number is 12? 4. 150% of what number is 189? 560,000 300 32 1 2 126 1 2

3. Percent of Increase and Decrease 6-5 Problem of the Day In a school survey, 45% of the students said orange juice was their favorite juice, 25% preferred apple, and 10% preferred grapefruit. The remaining 32 students preferred grape juice. How many students participated in the survey? 160 students

4. Percent of Increase and Decrease 6-5 MA.8.A.6.4 Perform operations on real numbers (including…percents…) using mult0-step and real world problems. Sunshine State Standards

5. Percent of Increase and Decrease 6-5 Vocabulary percent of change percent of increase percent of decrease

6. Percent of Increase and Decrease 6-5 Percents can be used to describe a change. Percent of change is the ratio of the amount of change to the original amount. Percent of increase describes how much the original amount increases. Percent of decrease describes how much the original amount decreases. amount of change original amount percent change =

7. Percent of Increase and Decrease 6-5 Find the percent increase or decrease from 16 to 12. Additional Example 1: Finding Percent Increase or Decrease This is percent decrease. 16 – 12 = 4First find the amount of change. Think: What percent is 4 of 16? amount of decrease original amount 4 16 Set up the ratio.

8. Percent of Increase and Decrease 6-5 Additional Example 1 Continued = 25%Write as a percent. = 0.25Find the decimal form. 4 16 From 16 to 12 is a 25% decrease.

9. Percent of Increase and Decrease 6-5 Find the percent of increase or decrease from 15 to 20. Check It Out: Example 1 amount of increase original amount = 20 – 15 15 5 15 = 1313 = 1313 = 33 % increase

10. Percent of Increase and Decrease 6-5 When Jim was exercising, his heart rate went from 79 beats per minute to 98 beats per minute. Estimate the percent of increase. Additional Example 2A: Life Science Application Think: What percent is 19 of 79? 19 79 Set up the ratio. 98 – 79 = 19First find the amount of change. amount of increase original amount

11. Percent of Increase and Decrease 6-5 Additional Example 2 Continued = 24%Write as a percent. = 0.27Find the decimal form. 79 19 Jim’s heart rate increased by about 24% when he exercised.

12. Percent of Increase and Decrease 6-5 In 1999, a certain stock was worth $1.25 a share. In 2002, the same stock was worth $0.85 a share. What was the percent decrease? Additional Example 2B: Application 1.25 – 0.85 = 0.40First find the amount of change. Think: What percent is 0.40 of 1.25? amount of decrease original amount 1.25 0.40 Set up the ratio.

13. Percent of Increase and Decrease 6-5 Additional Example 2B Continued = 32%Write as a percent. = 0.32Find the decimal form. 1.25 0.40 The value of the stock decreased by 32%.

14. Percent of Increase and Decrease 6-5 During one town election, 1769 voters participated. At the next election, 3586 voters voted. Estimate the percent of increase in the number of voters between the two elections. Check It Out: Example 2A 3600 – 1800 = 1800 1800 1769 is about 1800 and 3586 is about 3600. amount of increase original amount = 1800 = 1 1 = 1

15. Percent of Increase and Decrease 6-5 = 100% about a 100% increase in the number of voters Check It Out: Example 2A Continued

16. Percent of Increase and Decrease 6-5 An infant loses body weight during its first few days of life. What is the percent of decrease in the weight of an infant who weighed 90 ounces at birth and 81 ounces a few days later? Check It Out: Example 2B 90 – 81 = 9 9 90 amount of increase original amount = 9 90 = 1 10 = 10%

17. Percent of Increase and Decrease 6-5 a 10% decrease in the infant’s weight Check It Out: Example 2B Continued

18. Percent of Increase and Decrease 6-5 Sarah bought a DVD player originally priced at $450 that was on sale for 20% off. What was the price after discount? Additional Example 3: Using Percent Change to Find Discounts and Markups $450  20%First find 20% of $450. $450  0.20 = $9020% = 0.20 The amount of decrease is $90. Think: The reduced price is $90 less than $450. $450 – $90 = $360Subtract the amount of decrease. The sale price of the DVD player was $360.

19. Percent of Increase and Decrease 6-5 The discount on a stereo that sells for $900 is 15% off the regular price. What is the sale price of the stereo? Check It Out: Example 3A $900  15% $900  0.15 = $135 The amount of decrease is $135, so the reduced price is $135 less than $900. $900 – $135 = $765 The sale price of the stereo is $765.

20. Percent of Increase and Decrease 6-5 Mr. Schultz owns a hardware store and typically marks up merchandise 28% over warehouse cost. How much would he charge for a wrench that costs him $12.45? $12.45  28% $12.45  0.28 ≈ $3.49 The amount of increase (the markup) is $3.49, so the price charged is $3.49 more than $12.45. $12.45 + $3.49 = $15.94 The retail price for the wrench would be $15.94. Check It Out: Example 3B

21. Percent of Increase and Decrease 6-5 Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

22. Percent of Increase and Decrease 6-5 Lesson Quiz Find each percent increase or decrease to the nearest percent. 1. from 12 to 15 2. from 1625 to 1400 3. from 37 to 125 4. from 1.25 to 0.85 5. A computer game originally sold for $40 but is now on sale for 30% off. What is the sale price of the computer game? 14% decrease 25% increase 238% increase 32% decrease $28

23. Percent of Increase and Decrease 6-5 1. Identify the percent increase or decrease to the nearest percent. from 23 to 29 A. 26% decrease B. 26% increase C. 32% decrease D. 32% increase Lesson Quiz for Student Response Systems

24. Percent of Increase and Decrease 6-5 2. Identify the percent increase or decrease to the nearest percent. from 1440 to 1220 A. 15% decrease B. 15% increase C. 28% decrease D. 28% increase Lesson Quiz for Student Response Systems

25. Percent of Increase and Decrease 6-5 3. A winter coat originally sold for $75 but is now on sale for 20% off. What is the sale price of the winter coat? A. $55 B. $60 C. $65 D. $70 Lesson Quiz for Student Response Systems