Math 7A Unit 4 Notes PDF

Math 7A Unit 4 – Ratios and Proportions Learning Intentions: I will be able to solve problems involving percentages. You need to take notes throughout this entire lesson! These notes will be submitted for points. Be on the lookout for the three parts needed for the access code to the quiz Acc...

Math 7A Unit 4 – Ratios and Proportions Learning Intentions: I will be able to solve problems involving percentages. You need to take notes throughout this entire lesson! These notes will be submitted for points. Be on the lookout for the three parts needed for the access code to the quiz Access code: _ _ _ Proportional Relationships 𝑝𝑎𝑟𝑡 𝑝𝑒𝑟𝑐𝑒𝑛𝑡 To solve percent problems, use the proportion = 𝑤ℎ𝑜𝑙𝑒 100 A book is priced at $22. When Jamie purchased the book, she paid $1.98 in sales tax. What percent sales tax did Jamie pay for the book? Proportional Relationships 𝑝𝑎𝑟𝑡 𝑝𝑒𝑟𝑐𝑒𝑛𝑡 To solve percent problems, use the proportion = 𝑤ℎ𝑜𝑙𝑒 100 What is 12% of 150? Proportional Relationships 𝑝𝑎𝑟𝑡 𝑝𝑒𝑟𝑐𝑒𝑛𝑡 To solve percent problems, use the proportion = 𝑤ℎ𝑜𝑙𝑒 100 When going out to dinner, Joe left a 21% tip. The tip was $9.50. How much was the dinner bill before tip? Percents 𝑎𝑚𝑜𝑢𝑛𝑡 𝑜𝑓 𝑐ℎ𝑎𝑛𝑔𝑒 Percent Increase or Decrease: 𝑝𝑒𝑟𝑐𝑒𝑛𝑡 𝑐ℎ𝑎𝑛𝑔𝑒 = 𝑜𝑟𝑖𝑔𝑖𝑛𝑎𝑙 𝑎𝑚𝑜𝑢𝑛𝑡 Elly’s bank account had $25 in January and increased to $45 in March. Find the percent increase. Percents 𝑎𝑚𝑜𝑢𝑛𝑡 𝑜𝑓 𝑐ℎ𝑎𝑛𝑔𝑒 Percent Increase or Decrease: 𝑝𝑒𝑟𝑐𝑒𝑛𝑡 𝑐ℎ𝑎𝑛𝑔𝑒 = 𝑜𝑟𝑖𝑔𝑖𝑛𝑎𝑙 𝑎𝑚𝑜𝑢𝑛𝑡 The temperature in Phoenix decreases from 112° on Friday to 103.6° on Saturday. What is the percent decrease? Percents 𝑎𝑚𝑜𝑢𝑛𝑡 𝑜𝑓 𝑐ℎ𝑎𝑛𝑔𝑒 Percent Increase or Decrease: 𝑝𝑒𝑟𝑐𝑒𝑛𝑡 𝑐ℎ𝑎𝑛𝑔𝑒 = 𝑜𝑟𝑖𝑔𝑖𝑛𝑎𝑙 𝑎𝑚𝑜𝑢𝑛𝑡 Last week Target sold 315 notebooks. This week, they sold 252 notebooks. What is the percent decrease in sales? If the sales decrease by the same percent next week, how many notebooks will be sold? percent change = Percent proportion: Percents Absolute Error: the absolute value of the difference of the measured value and actual value 𝑎𝑏𝑠𝑜𝑙𝑢𝑡𝑒 𝑒𝑟𝑟𝑜𝑟 = 𝑚𝑒𝑎𝑠𝑢𝑟𝑒𝑑 𝑣𝑎𝑙𝑢𝑒 − 𝑎𝑐𝑡𝑢𝑎𝑙 𝑣𝑎𝑙𝑢𝑒 A value that involves absolute error may be reported as 𝑎𝑐𝑡𝑢𝑎𝑙 𝑣𝑎𝑙𝑢𝑒 ± 𝑎𝑏𝑠𝑜𝑙𝑢𝑡𝑒 𝑒𝑟𝑟𝑜𝑟 Percent Error: a value that shows how close a measurement is to the actual value 𝑎𝑏𝑠𝑜𝑙𝑢𝑡𝑒 𝑒𝑟𝑟𝑜𝑟 𝑝𝑒𝑟𝑐𝑒𝑛𝑡 𝑒𝑟𝑟𝑜𝑟 = · 100 𝑎𝑐𝑡𝑢𝑎𝑙 𝑣𝑎𝑙𝑢𝑒 Percents 𝑎𝑏𝑠𝑜𝑙𝑢𝑡𝑒 𝑒𝑟𝑟𝑜𝑟 = 𝑚𝑒𝑎𝑠𝑢𝑟𝑒𝑑 𝑣𝑎𝑙𝑢𝑒 − 𝑎𝑐𝑡𝑢𝑎𝑙 𝑣𝑎𝑙𝑢𝑒 𝑎𝑏𝑠𝑜𝑙𝑢𝑡𝑒 𝑒𝑟𝑟𝑜𝑟 𝑝𝑒𝑟𝑐𝑒𝑛𝑡 𝑒𝑟𝑟𝑜𝑟 = · 100 𝑎𝑐𝑡𝑢𝑎𝑙 𝑣𝑎𝑙𝑢𝑒 The listed weight of a dog up for adoption is 35 pounds. A volunteer at the shelter weighs the dog and records a weight of 32.5 pounds. What is the absolute error and the percent error? Percents 𝑎𝑏𝑠𝑜𝑙𝑢𝑡𝑒 𝑒𝑟𝑟𝑜𝑟 = 𝑚𝑒𝑎𝑠𝑢𝑟𝑒𝑑 𝑣𝑎𝑙𝑢𝑒 − 𝑎𝑐𝑡𝑢𝑎𝑙 𝑣𝑎𝑙𝑢𝑒 𝑎𝑏𝑠𝑜𝑙𝑢𝑡𝑒 𝑒𝑟𝑟𝑜𝑟 𝑝𝑒𝑟𝑐𝑒𝑛𝑡 𝑒𝑟𝑟𝑜𝑟 = · 100 𝑎𝑐𝑡𝑢𝑎𝑙 𝑣𝑎𝑙𝑢𝑒 The actual density of gold is 19.32 g/cm³. A lab team measured the density of a gold sample in a lab and calculated a density of 19.01 g/cm³. What is the absolute error and the percent error? Success Criteria! You will be successful when you can: Solve problems involving percentages Did you take notes? If not, please go back and take notes, you will be submitting a page of notes for the quiz.