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Chapter 6 Lesson 8 Percent of Change pgs. 304-308. What you will learn: Find percent of increase Find percent of decrease. Vocabulary:. Percent of change (304): tells the percent an amount has increased or decreased in relation to the original amount
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Chapter 6 Lesson 8Percent of Changepgs. 304-308 What you will learn: Find percent of increase Find percent of decrease
Vocabulary: • Percent of change (304): tells the percent an amount has increased or decreased in relation to the original amount • Percent of increase (305): when an amount increases • Percent of decrease (306): when the amount decreases, the percent of change is negative
Suppose the length of rectangle A is increased from 4 units to 5 units. 4 units -----------------------> 5 units Rectangle A had an initial area of 8 square units. It increased to 10 square units. This is a change in area of 2 square units. The following ratio shows this relationship. change in area =2 = 1 or 25% original area 8 4 That means, compared to the original area, the new area increased by 25%
Example1: Find Percent of Change Find the percent of change from 25 cm to 36 cm Step 1:Subtract to find the amount of change 36 - 25 = 11 new measurement - old measurement Step 2: Write a ratio that compares the amount of change to the original measurement. Express the ratio as a percent percent of change = amount of change original measurement = 11 = .44 = 44% 25 The percent of change from 25 cm to 36 cm is 44%
Example 2: Find Percent of Increase In 2000, there were 356 endangered species in the U.S. One year later, 367 species were considered endangered. What was the percent of change? Step 1: Subtract to find the amount of change. 367 - 356 = 11 new amount - original amount Step 2: Write a ratio that compares the amount of change to the original amount. Express the ratio as a percent. Percent of change = amount of change original amount 11 = .0308988764 Write the decimal as a % 356 = 3.1%
Example 3: Multiple Test ItemRefer to your book pg 305. Seattle, Washington, receives an average of 6.0 inches of Precipitation in December. In March, the average precipitation is 3.8 inches. What is the percent of change in Precipitation from December to March? Example 4: Find Percent of Decrease Step 1: Subtract to find the amount of change. 3.8 - 6.0 = -2.2 (ending precipitation - beginning precipitation) Compare the amount of change to the beginning precipitation percent of change = amount of change beginning precip. -2.2 = -0.36666 <----change to a percent 6 -36.7% This is a percent of decrease
Your Turn!Find the percent of change. Round to the nearest tenth if necessary and state whether the percent of change is a percent of increase or a percent of decrease. A. From 68 min to 51 min B. From 257m to 243m C. From $289 to $762 D. Suppose 36 videos are added to a video collection that has 24 videos. What is the percent of change? 51-68 = -17 -17 = -.25 = -25% Decrease 68 243-257= -14 -14 = -.0544= -5.4% Decrease 257 762-289=473 473 = 1.6366 = 163.7% Increase 289 60-24=36 36 = 1.5 =150% Increase 24