CHAPTER Ratios, Rates, and Proportional Reasoning

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Name: _____________________________________________________Date: ______________2.3 Proportional Reasoningproportion• an equation that shows 2 ratios or 2 rates are equal× 3 × 3• examples: 2 = 6 or3 92 km 6 km=3 h 9 h× 3 × 3Working Example 1: Solve a Rate Problem Using Proportional ReasoningElectricity costs 11.58¢ per 2 kWh.How much does 30 kWh cost? Round your answer to the nearest cent.SolutionMethod 1: Use a Unit RateA kWh is a unit ofenergy.Find the unit rate.÷ 211.58¢=2 kWh 1 kWh÷ 2Electricity costs ¢ per kWh or ¢/kWh.Find the cost of 30 kWh.30 × 5.79¢ = ¢. 30 5.79 173.7So, 30 kWh costs about 174¢ or $ .Method 2: Use a ProportionTo change ¢ to $,divide by 100.× 1511.58¢=2 kWh 30 kWh× 1511.58¢ is about 12¢.12 × 15 = (10 × 15) + (2 × 15)= 150 + 30= 180The answer will be about 180¢ or $1.80.So, 30 kWh costs about 174¢ or $ .78 MHR ● Chapter 2: Ratios, Rates, and Proportional Reasoning
Name: _____________________________________________________Date: ______________a) There are 72 players on 8 baseball teams.Use 2 methods to find the number of players on 2 teams.Method 1: Use a Unit Rate÷players72 players=8 teams 1 team÷Number of players on 1 team =Number of players on 2 teams = 2 ×=Method 2: Use a Proportion÷players72 players=8 teams 2 teams÷Sentence: ________________________________________________________________b) Which method do you like best?Give 1 reason for your answer.__________________________________________________________________________________________________________________________________________________________________________________________________________________2.3 Proportional Reasoning ● MHR 79
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CHAPTER Ratios, Rates, and Proportional Reasoning

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