The ingredients in the recipe will make 4 servings of frozen yogurt. Determine the following: If you want to make 8 servings, what would you do to the.

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Presentation transcript:

The ingredients in the recipe will make 4 servings of frozen yogurt. Determine the following: If you want to make 8 servings, what would you do to the amounts for each ingredient? What would you do to make 2 servings? Suppose you wanted 6 servings. How much more is six than four? 2 cups milk ¾ cup honey 1 dash salt 2 eggs, beaten 2 cups plain yogurt 1 tablespoon Vanilla

 2.6 Ratios and Proportions Ratios and Proportions CFU ; Solve absolute value equations and inequalities (including compound inequalities) with one variable and graph their solutions on a number line. SPI ; Write and/or solve linear equations, inequalities, and compound inequalities including those containing absolute value.  2.7 Percent of Change CFU ; formulas, equations, and inequalities to solve real-world problems including time/rate/distance, percent increase/decrease, ratio/proportion, and mixture problems.; CFU Recognize and perform multiple steps in problem solving when necessary.

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 Ratio is a comparison between two numbers x to y x:y x/y  An equation stating that two ratios are equal is called a Proportion = = Two ratios are proportional

 If cross product of ratios are equal, the ratios are proportionate  If then =

Cross Products A. Use cross products to determine whether the pair of ratios below forms a proportion. Original proportion Answer: The cross products are not equal, so the ratios do not form a proportion. Find the cross products. Simplify. ? ?

Solve a Proportion Original proportion Find the cross products. Simplify. Subtract 16 from each side. Answer: x = 5 Divide each side by 4. B.

A. 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 greater than the original, the percent of change is a percent of increase. 40 – 32 = 8

Find the percent using the original number, 32, as the base. Answer: The percent of increase is 25%. change original amount percent of change 100 percent 8(100)= 32(r)Find the cross products. 800= 32rSimplify. Divide each side by = rSimplify.

 Change from 20 to 4  The price a used book store pays to buy a book is $5. The store sells the book for 28% above the price that is pays for the book. What is the selling price of the $5 book?

A.increase of 300% B.decrease of 300% C.increase of 25% D.decrease of 25% B. 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

Sales Tax SALES TAX A meal for two at a restaurant costs $ If the sales tax is 5%, what is the total price of the meal? Step 1Find the tax. The tax is 5% of the price of the meal. 5% of $32.75= 0.05 × % = 0.05 = Use a calculator.

Sales Tax Step 2Find the cost with tax. Round $ to $1.64. Add this amount to the original price. $ $1.64 = $34.39 Answer: The total price of the meal is $34.39.

Discounts 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? Step 1Find the discount. The discount is 20% of the original price. 20% of $3.80 = 0.20 × % = 0.20 = 0.76Use a calculator.

Discounts Step 2Find the cost after discount. Subtract $0.76 from the original price. $3.80 – $0.76 = $3.04 Answer: The discounted price of the dog toy is $3.04.

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