Main Idea and New Vocabulary

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Presentation transcript:

Main Idea and New Vocabulary Example 1: Identify Proportional Relationships Example 2: Identify Proportional Relationships Lesson Menu

Identify proportional and nonproportional relationships. Main Idea/Vocabulary

Identify Proportional Relationships BUSINESS A cleaning service charges $45 for the first hour and $30 for each additional hour. Is the fee proportional to the number of hours worked? Make a table of values to explain your reasoning. Example 1

Identify Proportional Relationships For each number of hours, write the relationship of the cost and the number of hours worked as a ratio in simplest form. Example 1

Identify Proportional Relationships Answer: Since the ratios of the two quantities are not the same, the cleaning fee is not proportional to the number of hours worked. Example 1

CARPET CLEANING A carpet cleaning company charges $20 per room to steam clean the carpet plus a $25 service call. Is the cost proportional to the number of rooms cleaned? A. Yes; the ratios are the same, $20 per room. B. Yes; the ratios are the same, $25 per room. C. Yes; the ratios are the same, $45 per room. D. No; the ratios are not the same. Example 1 CYP

Identify Proportional Relationships BAKING A recipe for jelly frosting calls for cup of jelly and 1 egg white. Is the number of egg whites used proportional to the cups of jelly used? Make a table of values to explain your reasoning. Example 2

Identify Proportional Relationships Find the amount of jelly and egg whites needed for different numbers of batches and make a table to show these jelly and egg white measures. Example 2

Identify Proportional Relationships For each number of cups of jelly, write the relationship of the number of cups of jelly and the number of egg whites. Example 2

Identify Proportional Relationships Answer: All of the ratios between the two quantities can be simplified to . The amount of jelly used is proportional to the number of egg whites used. Example 2

A. Yes; the ratios between the two quantities are all equal to . LEMONADE A recipe for lemonade is shown. Is the number of lemons used proportional to the amount of sugar used? A. Yes; the ratios between the two quantities are all equal to . B. Yes; the ratios between the two quantities are all equal to . C. Yes; the ratios between the two quantities are all equal to . D. No; the ratios between the two quantities are not the same. Example 2 CYP