Rate is when you are comparing twosets of data that are measured in different units.
The Definition for Ratio:
Ratio is when you are comparing two sets of data from the same unit.
What is the difference between ratio and rate?
Rate compares two different units while ratio compares data from the same unit.
Question 4 from P60.
4. Determine the unit rate in each situation.
a) An orca swims 110 km in 2 h.
Divide both numbers by 2.
b) A Canada goose flies 800 km in 12.5 h.
Divide the numbers 800 and 12.5 by 12.5
c) Cathy plants 45 daffodils in 30 min.
Divide by 30
Question from P61
14. Conversion rates among currencies vary from day to day. The numbers in the table give the value in foreign currency of one Canadian dollar on one particular day.
Canadian | U.S. | Australian | European Union |
---|---|---|---|
1.00 Dollar | 0.8857 dollars | 1.1527 dollars | 0.6940 euros |
a) What was the value of $600 Canadian in euros?
Euros | Canadian |
---|---|
0.6940 | 1.00 | x600
$416.40 | $600 |
b) What was the value of $375 Canadian in U.S. dollars?
U.S. | Canadian |
---|---|
0.8857 | 1.00 | x375
$332.14 | $375 |
c) What was the value of $450 Canadian in Australian dollars?
Australian | Canadian |
---|---|
1.1527 | 1.00 | x450
$518.72 | $450 |
PART 2
These are the Grade 8 ingredients for Spaghetti Sauce. This recipe serves 4 people.
1) What would the recipe look like if it had to serve 10 people? Show your calculations.
Ground beef - 0.5 x 2.5 = 1.25 lb
Medium onion, diced - 1 x 2.5 = 2 1/5
Stalk celery finely sliced - 1 x 2.5 = 2 1/5
Clove Garlic, minced - 1 x 2.5 = 2 1/5
Canned tomatoes, chopped - 14 x 2.5 = 35 oz
Can tomato paste - 0.5 x 2.5 = 1.25
Parsley - 1 x 2.5 = 2 1/5 tsp
Basil - 1.5 x 2.5 = 3.75
Oregano - 1 x 2.5 = 2 1/5 tsp
Sugar - 1 x 2.5 = 2 1/5 tsp
Worcestershire Sauce - 0.5 x 2.5 = 1.25 tsp
Seasoning Salt - 0.5 x 2.5 = 1.25 tsp
Bay Leaf - 1 x 2.5 = 2 1/5
Ground beef - 0.5 x 2.5 = 1.25 lb
Stalk celery finely sliced - 1 x 2.5 = 2 1/5
Clove Garlic, minced - 1 x 2.5 = 2 1/5
Canned tomatoes, chopped - 14 x 2.5 = 35 oz
Can tomato paste - 0.5 x 2.5 = 1.25
Parsley - 1 x 2.5 = 2 1/5 tsp
Basil - 1.5 x 2.5 = 3.75
Oregano - 1 x 2.5 = 2 1/5 tsp
Sugar - 1 x 2.5 = 2 1/5 tsp
Worcestershire Sauce - 0.5 x 2.5 = 1.25 tsp
Seasoning Salt - 0.5 x 2.5 = 1.25 tsp
Bay Leaf - 1 x 2.5 = 2 1/5
2) What would the recipe look like if you had to only serve 1 person? Show your calculations.
Ground beef - 1.25 ÷ 10 = 0.125
Medium onion, diced - 2.5 ÷ 10 = 0.25
Stalk celery finely sliced - 2.5 ÷ 10 = 0.25
Clove Garlic, minced - 2.5 ÷ 10 = 0.25
Canned tomatoes, chopped - 35 ÷ 10 = 3.5
Can tomato paste - 1.25 ÷ 1o = 0.125
Parsley - 2.5 ÷ 10 = 0.25
Basil - 3.75 ÷ 10 = 0.375
Oregano - 2.5 ÷ 10 = 0.25
Sugar - 2.5 ÷ 10 = 0.25
Worcestershire Sauce - 1.25 ÷ 1o = 0.125
Seasoning Salt - 1.25 ÷ 1o = 0.125
Bay Leaf - 2.5 ÷ 10 = 0.25
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