2.6 Ratios, Rates, and Conversions

1. 2.6 Ratios, Rates, and Conversions I can find ratios and rates and convert units and rates.

2. Compares two numbers by division • Can be written 3 ways • a:b • a to b • For every a units of one quantity, you have b units of another quantity. • Ex: if the ratio of boys to girls in a class is 2:1, then the number of boys is two times the number of girls Ratio

3. A ratio that compares quantities measured with different units • A rate with a denominator of 1 is called a unit rate • per 1 unit of measurement. Rate

4. Write each price as a ratio. • Then write each unit rate. • Store C offers the best deal because it has the smaller unit rate. Comparing Unit Rates

5. Multiply by the conversion factor • A ratio of two equivalent measures in different units. • Ex: • Write the conversion factor so that desired units are in the numerator and original units are in the denominator. Converting Units

6. 330 min; hours • Divide out common units • Simplify Practice

7. 15 kg; grams • 5 ft 3 in; inches • 1250 cm; meters You try!

8. Notice that units for each quantity are included in the calculations to help determine units for the answer. • Also called dimensional analysis Unit Analysis

9. Because rates involve two different units, you must multiply by two conversion factors. • Ex: converting miles per hour to feet per second. Converting Rates

10. A student ran the 50 yd dash in 5.8 s. At what speed did the student run in miles per hour? round to the tenth. • 17.6 mi/h You try!

11. ODDS ONLY • P.119 #11-21,25-29,35,39 Assignment