1. Exploring Data: Rates & Ratios

2. Objectives: Learn how to use rates to relate quantities measured in different units Learn how to use ratios to relate quantities measured in the same units

3. Rate: Rates are used to compare quantities with different units by division. If a & b are 2 quantities that are different units, then the average rate of a per b is

4. Common Rates:

5. If you drive 250 miles and use 10 gallons, how many miles did you get per gallon?

6. Reduce fraction to: 25 miles/gallonor

7. If you earn $300 in 50 hours, how much did you earn per hour? Per hour = Total pay Total hours

8. Reduce when possible Divide to find pay per hour

9. Money Exchange Rates Canada is $1.1515 to one US dollar. If you have $175 US how much Canadian ?

10. Rate: Words cancel out and you have

11. If you spend all but $32.50 C$ how many US$ do you have left? Rate: US $ left Set fractions up so the unit you want left is in the numerator!

12. Ratio: Ratios, like rates, compare quantities by division, but ratios compare quantities measured in the same unit. In itself, a ratio has NO units. a to b== a:b Ratios are often left as fractions with no units shown

13. Basketball team won 10 games, lost 6 games Win to loss ratio:

14. Rate or Ratio? Compare the area of 2 rooms. One is 10 by 10 the other 15 by 15.

15. #1:

16. #2:

17. Which is easier to read? 2nd way shows that the 2nd room is over twice as large as the first (ratio)