Warm Up January 27, 2016 Change the fraction to a percent 1. 4/5

Transcription

1 Warm Up January 27, 2016 Change the fraction to a percent 1. 4/ and 4/5 3. 2/3 4. 5/8 1

2 Percent of Change Percent is a fraction whose denominator is 100. The symbol is %. A percent of change shows how much a quantity has increased or decreased in comparison with the original amount. Percent of Change p = Percent of increase or decrease Original Amount 2

3 If the new amount is greater than the original amount, the percent of changes is called a percent of increase. If the new amount is less than the original amount, the percent of change is called a percent of decrease. 3

4 The price of a pair of shoes increased from $52 to $64. What is the percent increase? A. Find the amount of change. = Greater Value Lesser Value Amount of Change B. Find the percent of change. Round to the nearest percent. Percent of Change p = Amount of Change Original Amount = 52 = = % 4

5 Complete the table Item Scooter Bike Original Price $45 $110 New Price $56 $96 Percent of Change Increase or Decrease 5

6 Percent Change is how much of a change something has from time to another. Ex: Josh needed to make money so he decided to open up a hot dog stand. On Monday Josh sold 19 hot dogs. On Tuesday he wanted to sell more so he posted flyers all around the school and ended up selling 45 hot dogs on Tuesday. If I wanted to know the percent change of hot dogs sold on Monday to hot dogs sold on Tuesday I could figure this out. 6

7 To figure out his percent change I would find the difference in the amount of hot dogs he sold from Monday to Tuesday. On Monday he sold 19, on Tuesday he sold 45. I would take = 26. So Josh sold 26 more hot dogs on Tuesday. To find his percent change I take 26 and divide that by what he sold the first day which was divided by 19 = 1.37, we multiply that by 100 to get the decimal to a percent and the percent change is 137% increase from Monday to Tuesday. 7

8 To find the percent change we subtract the two numbers we are comparing. Original: 48 So I would take = 18 New: 30 I would then take 18 and divide that by my original number which is 48. So 18 / 48 = 0.375, to change that to a percent we times that number by 100 which equals 37.5%. So this time there was a 37.5% decrease from the original number. 8

9 You Try Original : 28 New: 40 Real World Example The Stock Market 9

10 Jacob had a lemonade stand outside of his house. On Saturday he sold 45 glasses of lemonade. On Sunday he sold 60 glasses of lemonade. What is the percent change of glasses of lemonade sold from Saturday to Sunday? 10

11 Jacob had a lemonade stand outside of his house. On Saturday he sold 25 glasses of lemonade. On Sunday he sold 45, Monday 23, Tuesday 37. What is the percent change of glasses of lemonade sold from Monday to Tuesday? 11

12 Mary bought a bike for $120. Three years later she sold it for $96. By the what percent did the value of bike decrease? 12

13 The number of visits to the Kobuk Valley National park in Alaska dropped from 6000 in 1999 to 3000 in What was the percent of decrease? 13

14 A novel, originally priced at $20.00, is now on sale for $ What percent of the original cost is the sale price? 14

15 The price of a bottle of water went form $0.88 to $0.99. By what percent did the price increase? 15

16 Warm Up Change the fraction to a percent 1. 4/ and 4/5 3. 2/3 4. 5/8 Find the Percent Change 5. Original: Original: Original: 10 New: 42 New: 16 New: Joe sold 30 hot dogs on Monday and 45 on Tuesday. What is the percent change of hot dogs sold from Monday to Tuesday? 16

17 Warm Up Change the fraction to a percent round to the thousandths place 1. 8/9 2. 2/ /3 4. 2/8 Find the Percent Change 5. Original: Original: 20 New: 60 New: Tom bought a shirt for 20 dollars. With a tax of 7%, how much did the shirt cost? 8. Sean bought a shirt for 15 dollars, a hat for 20, and shoes for 50 dollars. He got a 20% discount off his purchase. How much was his total? 17

18 18

19 19

20 20

21 Find the percent change 1. Original:16 2. Original: 8 3. Original: 96 New: 48 New: 50 New: Original: Original: Original: 180 New: 86 New: 25.3 New: Tom sold 85 T Shirts for his fundraiser on Monday, on Tuesday he only sold 50. What is the percent change from Monday to Tuesday. 8. John made a total of $ on Friday, on Saturday he made a total of $1, What is the percent change? 21

22 Find the percent change 1. Original: Original: Original: 180 New: 86 New: 25.3 New: 240 Change the fraction or decimal to a percent 4. 4/ and 16/20 7. Ed made 25% of his shots at basketball practice. If he made 16 shots, how many shots did he take? 8. Ronny went to Arby's and spent $8.49. If he had a 10% discount and 6% tax, how much was his total? 22

23 Karen spends $450 on monthly bills. Of this total amount, 12% is for phone service, 1/10 is for Internet service, and 2/9 is for utilities. If the rest of the total amount is for food, how much does Karen have for food? A. $ B. $ C. $ D. $ A shirt originally costing $19 is on sale for 20% discount in February. In March, there is an extra 25% discount on the sale price of the shirt. How much did the shirt cost in March? A. $7.60 B. $8.55 C. $10.45 D. $11.40 A school has $5,000 to buy new laptop computers for students. The average laptop computer costs $480 each and the tax is 7% on the cost of each computer. Approximately, how many computers can the school buy with this money? A. 9 B. 10 C. 11 D

24 Mr. Tucker earns $250 per week working in an appliance store. In addition, he earns 2% commission on all of his sales. Last week, he sold $2,800 worth of appliances. What was Mr. Tucker's total income for the week? A. $56 B. $287 C. $306 D. $467 Two sporting goods stores are having discount sales on basketballs. At one store, a basketball is on sale for 20% off the regular price of $ At the other store, the same kind of basketball is on sale for 25% off the regular price of $ What is the difference between the sales prices of the two stores? A. $0.61 B. $0.85 C. $1.46 D. $

25 Anna saved $20 in a jar each month for 2 and 1/2 years. She spent 75% of her savings on a computer. How much money did Anna have left in the jar? A. $150 B. $240 C. $450 D. $600 Mr. Jones spent $156 to attend a college football game. Twenty percent of this cost was for parking. He spent the remainder of the money on two tickets for the game. What was the price per ticket? A. $15.60 B. $31.20 C. $62.40 D. $

26 !. A notebook costs $4.50 plus sales tax. After sales tax, the notebook is $4.86. What is the sales tax rate? A. 6% B. 7% C. 8% D. 9% 2. The Smith family went out to dinner. The price was $29.85 for the meal. The sales tax was 6% of the price of the meal. The tip was 15% of the meal and the sales tax. How much money did the Smith family pay for the meal? A. $50.85 B. $36.39 C. $36.12 D. $ Mr. Sanchez bought 2 magazines for $9.95 each and 1 book for $ If the sales tax is 6%, what is the total cost? A. $25.50 B. $26.39 C. $35.45 D. $

27 The Percent Bar The Percent bar can be used with proportions to solve word problems. Ex: Josh made 20 out of 30 shots from the free throw line at practice. What percent of his shots did he make? # % This sets up a proportion to 20 x solve for his percentage. 30x = x = 66.66% 27

28 The Percent Bar The Percent bar can be used with proportions to solve word problems. Ex: Josh shot 45 shots and made 40% his shots. How many shots did he make? # % This sets up a proportion to x 40 solve for the number of shots. 100x = x = 18 shots 28

29 The Percent Bar The Percent bar can be used with proportions to solve word problems. Ex: Josh made 28 shots during basketball practice. He made 70% of his shots. How many shots did he shoot during practice? # % This sets up a proportion to solve for the number of shots. 70x = x 100 x = 40 shots 29

30 The Percent Bar The Percent bar can be used with proportions to solve word problems. You try! Ex: Josh shot 40 shots during practice. He made 20% of his shots, how many shots did he make? # %

31 The Percent Bar The Percent bar can be used with proportions to solve word problems. # % 100% 31

32 Challenge The Percent bar can be used with proportions to solve word problems. You try! Ex: Josh shot 40 shots during practice. He made 40% of his shots, how many shots did he miss? # %

33 Warm Up 1. If Tim shot 15 shots and made 40% of them, how many shots did he make? 2. If Tim shot 15 shots and made 40% of them, how many shots did he miss? 3. John made 10% of his shots in practice. If he made 5 shots, how many did he shoot? 4. Tom made 15 out of 18 shots in the game. What was the percentage that he missed??? 5. What is as a percent? 6. What is 0.45 as a percent? 33

34 Find the percent change 1. Original:15 2. Original: Original: 90 New: 21 New: 19.8 New: 125 Change the percents to a fraction by putting them over % % 6. 4% 7. Eric bought a pair of shoes for $55.12 dollars. He had a 30% employee discount with a 7% tax. What is the total cost? I = PRT 8. Abe deposited $1,800 dollars into the bank. He gained $189 dollars of interest at a 3.5% rate. How many years did it take him to gain the $189? 34

35 Find the percent change 1. Original:25 2. Original: 5 3. Original: 130 New: 41 New: 19 New: 139 Change the percents to a fraction by putting them over % 5. 13% 6. 6% 7. Emma bought a video game for $42.12 dollars. She had a 40% employee discount with a 6% tax. What is the price of the video game? I = PRT 8. John deposited $1,200 dollars into the bank. He gained $180 dollars of interest at a 3% rate. How many years did it take him to gain the $180? 35

36 Find the percent change 1. Original:20 2. Original: Original: 96 New: 58 New: 9 New: 132 Change the percents to a fraction by putting them over % % % 7. Jeff bought a computer for $1310 dollars. He had a 40% employee discount. What is the sales price of the computer? 8. John bought 5 shirts for $11.22 each, and 2 pairs of jeans for each. He had a 15% discount on all items purchased and the tax was 7%. What was his total after the discount and with tax? 36

37 37