1. Ratios, Rates & Conversions
You will:
Find Ratios & Rates
Convert Units & Rates

2. Ratio: Rate: Unit Rate: Compares two numbers by division
A ratio that compares quantities measured in different units
Unit Rate:
A rate with a denominator of 1

3. Store A: $25 for 2 shirts Store B: $45 for 4 shirts
Problem 1
You are shopping for T-shirts. Which store offers the best deal?
Store A: $25 for 2 shirts Store B: $45 for 4 shirts
Store C: $30 for 3 shirts

4. If Store B lowers its price to $42 for 4 shirts, does the solution to Problem 1 change? Explain.

5. Conversion Factor:
A ratio of two equivalent measures in different units.
Always equal to 1.
To convert from one unit to another, such as yards to feet, you multiply the original unit by a conversion factor that produces the desired unit.

6. Problem 2 Convert each given amount into the given units.
330 min to hours b) 15 kg to grams

7. Problem 2 Convert each given amount into the given units.
c) cm to meters d) 5 ft 3 in to inches

8. Problem 2 Convert each given amount into the given units.
e) 5 lb 3 oz to ounces f) 8 ft to yards

9. Homework Assignment
Textbook Page 119; #1, 2, 5, 6, 7, 8, 9 – 16 All ***Bring Calculator to Class Tomorrow *** Use Page 814 for any conversions you do not already know. You will be held responsible for knowing them on the next quiz.

10. Ratios, Rates & Conversions Continued…
You will:
Convert Units & Rates

11. Problem 3
a) The CN Tower in Toronto, Canada, is about feet tall. About how many meters tall is the tower? Use the fact that 1 m ≈ 3.28 feet.

12. Problem 3
b) A building is 1450 feet tall. How many meters tall is the building? Use the fact that 1m ≈ 3.28 feet.
c) Monetary exchange rates change from day to day. On a particular day, the exchange rate for dollars to euros was about 1 dollar = 0.63 euro. About how many euros could you get for $325 on that day?

13. miles per hour to feet per minute
You can convert rates.
For example:
miles per hour to feet per minute
Since rates compare measures in two different units, you must multiply by two conversion factors to change both of the units

14. Problem 4
a) A student ran the 50 – yard dash in 5.8 seconds. At what speed did the student run in miles per hour? Round your answer to the nearest tenth.

15. Problem 4
b) An athlete ran a sprint of 100 feet in 3.1 seconds. At what speed was the athlete running in miles per hour? Round to the nearest mile per hour.

16. Problem 4
c) A car is traveling at 55 miles per hour. What is the car’s speed in feet per second?