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PERCENT DECREASE: How much is Overall Percent is BELOW 100%. #1a) What overall percent is 14 of 10? b) What is the percent change of 14 of 10? #2a) 60 is what overall percent of 80? b) 60 is what percent of change for 80? #3a) What is the overall percent of 60 to 54? b) What is the percent change of 60 to 54? #4a) What is the percent of 36 to 41.4? b) What is the percent change of 36 to 41.4? Calculate the Percent of Change: Step #1: Divide the END value OVER the START Value (Based on percent equation) Step #2: Find the percent of decimal form Step #3: Find the difference from 100% INCREASE = Above 100% AND DECREASE = Below 100% Find the percent of change (increase or decrease) in each situation: 1) Start = 10 End = 12 2) Beginning = 50 End = 49 3) Original = 25 New = 29 4) Start = 60 End = 54 5) New = 36 Original = 50 6) End = 97.5 Start = 75 7) List Price = 45 Sale Price = 36 8) Before = 1200 After = 1284 9) Initial = 8 Final = 20 10) The old population was 75,300 and the current population is 87,348. 11) A new car cost $45,000 and was later sold as a used car for a price of $39,150. CALCULATE VALUES with PERCENT OF CHANGE: PERCENT INCREASE:PERCENT DECREASE:STEP #1:ADD 100% AND Percent Increase STEP #2: Convert Percent to decimal form STEP #3: Solve Percent Equation (START #)*(% DECIMAL) = (END #) Key Terms: Tax, Appreciates, Grows, InterestSTEP #1: SUBTRACT 100% and Percent Decrease STEP #2: Convert Percent to decimal form STEP #3: Solve Percent Equation (START #) *(% DECIMAL) = (END #) Key Terms: Sales, Discount, Depreciates, DecaysPERCENT OF CHANGEPercent CalculationDecimal FormFind END VALUE10% IncreaseInitial = 120 25% DecreaseOriginal = 500 9% DecreaseOriginal = 3000 138% IncreaseStarting = 800 6.5% AppreciatedStarting = 2775 13% DepreciatedOriginal = 900 0.75% DecayInitial = 63 100% GrowthOriginal = 295 47% InterestOriginal = 598 23% SaleStarting = 54  CC MATH I STANDARDS: UNIT 4 PERCENT OF CHANGE: Identify the type of Percent of Change in the Problem based on key termsPERCENT INCREASE: Increase, Tax, Tip, Appreciates, Interest, GrowthPERCENT DECREASE: Decrease, Sale, Discount, Depreciates, Decays, LossSTEP #1: r = percent of change ADD: 100% + r%STEP #1: r = percent of change SUBTRACT: 100% - r%STEP #2: Convert Percent to DECIMAL FORM (Move decimal point LEFT two digits) STEP #3: Use the Percent Equation to solve: (START #)*(%) = (END #)GRAPHIC ORGANIZER for Percent of Change Problems PERCENT OF CHANGEPERCENT CALCULATIONDecimal FormFind missing value (START #)*(%) = (END #)15% Increase10% Decrease25% Sale20% Tip7.5% Interest32% Decay120% Growth20% Decrease5% Increase30% IncreasePERCENT OF CHANGE WORD PROBLEMS: Round Decimals to 2 Digits Identify if the problem is an increase or decrease case SECTION 1: Calculate the END or FINAL Value A concert tickets costs $45. The sales tax is 6.25%, what is the total price of the ticket? A sweater is on sale for 35% off the original price. If the original price of the sweater is $38, what is the discounted price? Mr. Smith went to BestBuy to buy a Playstation 3 for $400, but saw a sale of 25% off the original price, then how much would he pay? Raquel is planning to go to prom and needs to buy a dress. She finds a designer dress that originally costs $500 but its 40% off. How much did Raquel pay for the dress? Normally people say 20 percent is a good tip to give a waiter. If a meal cost you $23, what is the total bill after tip? You planned to buy $96 on groceries, and brought coupons worth 5% off on your groceries. How much money did you end up spending at the grocery store? The population grew 30% in one year. The population was 4500 in 1990. What is the population in 1991? A savings account will allow you to earn 6.5% interest each year. If you started the year with $1370 in your account, how much total money is in your account after interest? The number of bacteria in a petri dish is 40,000 cells. After one day of treatment, the number of bacteria decayed by 36%. How many bacteria cells are now in the dish? The value of a car depreciated by 20% from when it was sold for $45,000. What is the cars current value? SECTION 2: Calculating the START or INITIAL Value: If the final answer was number 93.6 with a 22% decrease, find the starting number. Ralph Lauren is having a sale on all polo shirts for 17% off the list price. If the sale price is $33.20 for a polo, then what is the approximate list price one is sold for? Tax was 8% and you paid $270 during your shopping spree. What is the original price of all of your items before tax was included? After you had a really good waiter you decided to leave a 22% tip. If you ended up leaving $42.70 on the table, then how much was your food cost? SECTION 3: ADVANCED EXAMPLES Monica currently works for $12 per hour at her job. She is offered two options for her raise. She can either get bumped up to 13.50 per hour based OR she could take a 15% increase to her pay. Which option should Monica choose? Target has coupons to use on the weekend. Coupon one is for $20 off your purchase and Coupon two is for 20% off your purchase. If Mr. Smith plans to get $90 worth of candy for class, which coupon should he bring to Target? At Chilis your party orders $120 worth of food. If you are first charged 7% tax on your food and afterwards pay a 20% tip to your waiter. How much is your bill after tax? How much is your total bill after tip is included? Walmart lists an XBOX360 at $220. Walmart offered a 15% sale on all items in the store, and then you had a 10% off all electronics coupon. How much is the XBOX after Walmarts sale? How much is the XBOX after the sale and then your coupon? Burke Street Pizza is offering a 20% off sale on all large pizzas. Mikayla orders one large pizza for $18 before the sale. If she plans to include a 20% tip for delivery, then How much is her pizza after the sale? How much does she pay total after including tip? A lunch entre is $8.50 and tax is 6.5%. How much do you have to pay total for lunch and how much is just the tax amount? A sale of 18% off is given for all items at a sporting goods store. 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