1. Solving a Proportion Problem

2. A Ratio and a Proportion Ratio: The relationship in quantity, amount, or size between two or more things. Typically expressed as a quotient of two mathematical expressions (i.e. A FRACTION). For example: Proportion: An equation that equates two ratios (i.e. TWO EQUAL FRACTIONS). For example:

3. Proportional Note: If y = 0, then x = 0. Thus, all proportional relations must contain the point (0,0).

4. Example Is the relation below proportional? x 2489 y 3101215

5. Using a Table to solve a Proportion Question Toby uses seven tubes of toothpaste every ten months. How many tubes would he use in 5 years? 5 years = 5x12 = 60 months MonthsTubes 107 60? x6 42 42 Tubes

6. Using an Equation to solve a Proportion Question Toby uses seven tubes of toothpaste every ten months. How long would it take him to use 100 tubes? 142.86 Months Tubes Months You learned this method in middle school. Can you prove/justify that it works?

7. Using a Diagram to solve a Proportion Question One more way to organize your work for 2-99 0x0x 20 6 15 10.8 36 14.1 y x 1.8 ÷ 1.8 = 27 7.83 =