1. Course 3 6-5 Percent Increase and Decrease 6-5 Percent Increase and Decrease Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

2. Course 3 6-5 Percent Increase and Decrease 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. Course 3 6-5 Percent Increase and Decrease 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. Course 3 6-5 Percent Increase and Decrease Learn to find percent increase and decrease.

5. Course 3 6-5 Percent Increase and Decrease Vocabulary percent change percent increase percent decrease

6. Course 3 6-5 Percent Increase and Decrease Percents can be used to describe a change. Percent change is the ratio of the amount of change to the original amount. Percent increase describes how much the original amount increases. Percent decrease describes how much the original amount decreases. amount of change original amount percent change =

7. Course 3 6-5 Percent Increase and Decrease 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. Course 3 6-5 Percent Increase and Decrease 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. Course 3 6-5 Percent Increase and Decrease Find the percent increase or decrease from 15 to 20. Check It Out: Example 1 This is percent increase. 20 – 15 = 5First find the amount of change. Think: What percent is 5 of 20? amount of increase original amount 5 20 Set up the ratio.

10. Course 3 6-5 Percent Increase and Decrease Check It Out: Example 1 Continued = 25%Write as a percent. = 0.25Find the decimal form. 5 20 From 15 to 20 is a 25% increase.

11. Course 3 6-5 Percent Increase and Decrease When Jim was exercising, his heart rate went from 70 beats per minute to 98 beats per minute. What was the percent increase? Additional Example 2A: Life Science Application Think: What percent is 28 of 70? 28 70 Set up the ratio. 98 – 70 = 28First find the amount of change. amount of increase original amount

12. Course 3 6-5 Percent Increase and Decrease Additional Example 2 Continued = 40%Write as a percent. = 0.4Find the decimal form. 70 28 Jim’s heart rate increased by 40% when he exercised.

13. Course 3 6-5 Percent Increase and Decrease 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.

14. Course 3 6-5 Percent Increase and Decrease 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%.

15. Course 3 6-5 Percent Increase and Decrease When Jeff was watching TV, the number of times his eyelids blinked went from 50 blinks per minute to 75 blinks per minute. What was the percent increase? Check It Out: Example 2A Think: What percent is 25 of 50? 25 50 Set up the ratio. 75 – 50 = 25First find the amount of change. amount of increase original amount

16. Course 3 6-5 Percent Increase and Decrease = 50%Write as a percent. = 0.5Find the decimal form. 50 25 The blinking of Jeff’s eyelids increased by 50% when he watched TV. Check It Out: Example 2A Continued

17. Course 3 6-5 Percent Increase and Decrease In 2000, a certain stock was worth $9.00 a share. In 2003, the same stock was worth $3.80 a share. What was the percent decrease, to the nearest tenth? Check It Out: Example 2B 9.00 – 3.80 = 5.20First find the amount of change. Think: What percent is 5.20 of 9.00? amount of decrease original amount 9.00 5.20 Set up the ratio.

18. Course 3 6-5 Percent Increase and Decrease The value of the stock decreased by about 57.8%. 9.00 5.20 = 0.57Find the decimal form. = 57.7%Write as a percent. Check It Out: Example 2B Continued

19. Course 3 6-5 Percent Increase and Decrease Sarah bought a DVD player originally priced at $450 that was on sale for 20% off. What was the sale price? Additional Example 3A: Percent Increase and Decrease $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.

20. Course 3 6-5 Percent Increase and Decrease Mr. Olsen has a computer business in which he sells everything at 40% above the wholesale price. If he purchased a printer for $85 wholesale, what will be the retail price? Additional Example 3B: Percent Increase and Decrease $85  40% First find 40% of $85. $85  0.40 = $3440% = 0.40 The amount of increase is $34. Think: The retail price is $34 more than $85. $85 + $34 = $119 Add the amount of increase. The retail price of this printer will be $119.

21. Course 3 6-5 Percent Increase and Decrease Lily bought a dog house originally priced at $750 that was on sale for 10% off. What was the sale price? Check It Out: Example 3A $750  10%First find 10% of $750. $750  0.10 = $7510% = 0.10 The amount of decrease is $75. Think: The reduced price is $75 less than $750. $750 – $75 = $675Subtract the amount of decrease. The sale price of the dog house was $675.

22. Course 3 6-5 Percent Increase and Decrease Barb has a grocery store in which she sells everything at 50% above the wholesale price. If she purchased a prime rib for $30 wholesale, what will be the retail price? $30  50% First find 50% of $30. $30  0.50 = $1550% = 0.50 The amount of increase is $15. Think: The retail price is $15 more than $30. $30 + $15 = $45Add the amount of increase. The retail price of the prime rib will be $45. Check It Out: Example 3B

23. Course 3 6-5 Percent Increase and Decrease 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