Lesson 2-7 Percent of Change.

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Presentation transcript:

Lesson 2-7 Percent of Change

The Essential Question Why is it important to be able to express algebraic expressions in different way? Answer:

A short review Are 17 34 and 3 12 equivalent ratios? Solve 7 8 = 35 𝑥 . Solve .6 𝑏 = 12 30 Solve 11 4 = 𝑧 5

More Review A bottling machine can fill 210 bottles every 5 minutes. How many bottles can it fill in 1 hour? The table shows the prices of three different sizes of detergent. Which size has the lowest price per ounce? Bottle Size Full Price Price per ounce 21 $4.58 54 $10.28 96 $19.29 The _________ oz is the best buy.

Objective: Find the percent of change Solve problems involving percent of change Vocabulary: Percent of change Percent of increase Percent of decrease

Some examples and practice: Determine whether the percent of change is a percent of increase of a percent of decrease. Then find the percent of change. Original: 20 New: 4 The amount of change is: This is a percent of ____________ because the new amount is __________ Than the original amount. Find the percent of change. New: 18 Determine whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. Original: 12 New: 48

Percent of Change 𝐶ℎ𝑎𝑛𝑔𝑒 𝑜𝑟𝑖𝑔𝑖𝑛𝑎𝑙 𝑎𝑚𝑡 Change to percent Determine whether the percent of change is a percent of increase or a percent of decrease Then find the percent of change. Original: 32 New: 40 Find the amount of change. Since the new amount is __________ than the original, the percent of change is the percent of __________. Find the percent using the original number, 32, as the base. 𝐶ℎ𝑎𝑛𝑔𝑒 𝑜𝑟𝑖𝑔𝑖𝑛𝑎𝑙 𝑎𝑚𝑡 Change to percent

Let s = the selling price of the book Real World Problem: The price a used-book store pays to buy a book is $5. The store sells the book for 28% above the price that it pays for the book. What is the selling price of the book? Let s = the selling price of the book Change Percent of change Bookstore cost 100 percent

More Real World Examples SALES At one store the price of a pair of jeans is $26.oo. At another store the same pair of jeans has a price that is 22% higher. What is the price of jeans at the second store? Sales Tax A meal for two at a restaurant costs $32.75. If the sales tax is 5%, what is the total price of the meal?

More Applications A portable CD player costs $69.99. If the sales tax is 6.75% what is the total price of the CD player? DISCOUNT A dog toy is on sale for 20% off the original price. If the original price of the toy is $3.80, what is the discounted price?

Check your progress… A baseball cap is on sale for 15% off the original price. I the original price of the cap is $19.99, what is the discounted price?

Activities for the rest of the day Mid-chapter quiz When your quiz is complete, work on your homework, quietly