2-7 Percent of Change Percent of Change: what % something changes Percent of increase: what % something goes up Percent of decrease: what % something goes down
Find the percent of change Original: 32 New: 40 Is this an increase or a decrease? Goes up – so it is an increase Use the proportion to solve. 8(100) = r(32) 800 = 32r 800/32 = 32r/32 25 = r or r = 25 25% increase
Try this one Original: 20 New: 4 Is it an increase or decrease? Find the percent of decrease. 16(100) = 20r 1600 = 20r 1600/20 = 20r/20 80 = r or r = 80 80% decrease
Find the missing value The price that a used bookstore 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? (x-5)(100) = 5(28) 100x – 500 = 140 100x = 640 X = 6.40 Selling price = $6.40
Sales Tax A meal for two at a restaurant (outside of Oregon) costs $32.75. If the sales tax is 5%, what is the total price for the meal? 5% of $32.75 = 0.05 times 32.75 = 1.6375 Round to 1.64 $32.75 + $1.64 = $34.39
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? 20% of $3.80 = .20 times 3.80 = 0.76 Since it is a discount you subtract. $3.80 - $0.76 = $3.04
Try these – page 113 #1-9 odd 1. Decrease; 50% 3. Increase of 14% 5. 347 miles 7. $16.91 9. $13.37 Homework #16 p. 113 10-36 even, 43-44