Using Proportions – Less 6.6 Percent Proportions Using Proportions – Less 6.6
Vocabulary Review Ratio: The comparison of two numbers (written in Algebra as a fraction) Proportion: When two ratios are equal to each other Cross Product(s): When we cross multiply/compare diagonally, the special relationship between two ratios in a proportion
Percent Proportions Proportions can be used to solve missing percentages of a number… “is #” = given/missing % “of #” 100%
Percent Proportions Ex. Find 30% of 24. x = 30% 24 100% Ex. Cross multiply Divide to solve We use the same steps to solve… Ex. Find 30% of 24. Is # = Of # = Given/missing % = Write out proportion… x = 30% 24 100% *Round answer to nearest tenth of percent! Ex. What percent is 20 of 210? Is # = Of # = Given/missing % = Write out proportion… = 100% *Round answer to nearest tenth of percent!
Percent Proportions Ex. What is 33% of 150? Ex. % = x = 33 % 150 100% Ex. 5 is 80% of what number? Is # = Of # = % = 5 = 80% x 100%
Practice 6% of what number is 2.46 What percent of 72 is 27? Write a proportion to solve. When necessary, round to the nearest tenth. 6% of what number is 2.46 What percent of 72 is 27? Find 72% of 310.
Homework p. 308-309 #14-19, 21, 42, 43, 45 (Calculator okay!) Show set up/process/work