1. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. 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

2. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. 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

3. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. Learn to find percent decrease.

4. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. Percent increase describes how much the original amount increases. amount of change original amount = percent increase 100

5. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. Find the percent increase from 12 to 15. 15 – 12 = 3First find the amount of change. Fill in your proportion amount of change original amount = percent increase 100 x 3 12 3 12 = x 100 100 x 3 ÷ by 12 = 25% increase Solve for x

6. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. Find the percent increase from 20 to 15. 15 – 12 = 3First find the amount of change. Fill in your proportion amount of change original amount = percent increase 100 x 3 12 3 12 = x 100 100 x 3 ÷ by 12 = 25% increase Solve for x

7. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. 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

8. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. 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.

9. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. 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.

10. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. 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%.

11. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. 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

12. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. = 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

13. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. 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.

14. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. 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

15. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. Sarah bought a DVD player originally priced at $450 that was on sale for 20% off. What was the sale price? Additional Example 3A: 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.

16. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. Mr. Olsen has a computer business in which he marks everything up 40% above the wholesale price. If he purchased a printer for $85 wholesale, what will be the retail price? Additional Example 3B: Using Percent Change to Find Discounts and Markups $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.

17. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. 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.

18. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. 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

19. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

20. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. 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

21. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. 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

22. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. 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

23. Percent Increase and Decrease 6-4 Students will be able to determine percent increase. 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