Tuesday, November 3, 2009

Shania's Rate Growing Post

PART 1

Rate - Compares to 2 quantaties measured in different units.
Ratio - Measures 2 different quantities measured in the same unit.
The difference between rate and ratio is that rate measured in different units while ratio is measured in the same unit.

The question I chose from page 60 is question 3.
a) Give two examples of rates that are common in everyday life.
An example of a rate is 7 days in a week.
7 days/1week

Another example of a rate is 6 periods in a day.
6periods/1day
b)What units measure each of the rates in part a)?
The units measured in part a) are periods and school and days and weeks.
c)Explain why a rate cannot be expressed as a percent.
A rate cannot be expressed as a percent because it does not have a part to whole relation.

The question I chose from page 61 was question number 10.

Trevor rode his mountain bike 84 km in 3 h. Jullian rode 70 km in 2.5 h. Who is the faster cyclist? how do you know?
Trevor and Jullian rode their bikes at the same speed.
How I got my answer :
First I converted the hours into minutes to get a more precise answer.
(3hr. > 180 min.) (2.5hr. > 150 min.)
Then I made a ratio table.







Then I had to divide the minutes to itself to get 1 minute.














In a ratio table, what you do to one side you have to do to the other.

















PART 2





















Question 1 :What would the recipe look like if it had to serve 10 people?

My calculations :
1/2 x 10 = 5 lb ground beef

1 x 10 = 10 medium onions

1 x 10 = 10 celeries finely sliced

1 x 10 = 10 cloves of garlic
14 x 10 = 140 oz of can of chopped tomatoes
1/2 x 10 = 5 cans of tomato paste
1 x 10 = 10 tsp parsley
1 1/2 x 10 = 15 tsp basil

1 x 10 = 10 tsp oregano
1 x 10 = 10 tsp sugar
1/2 x 10 = 5 tsp worchestershire sauce
1/2 x 10 = 5 tsp seasoning salt
1 x 10 = 10 bay leaf

Qustion 2 : What would the recipe look like if you had to only serve 1 person?

My calculations :
1/2 ÷ 4 = 0.125 lb ground beef
1 ÷ 4 = 1/4 medium onion
1 ÷ 4 = 1/4 celery finely sliced
1 ÷ 4 = 1/4 clove garlic
14 ÷ 4 = 3 1/2 oz of can of tomatoes chopped
1/2 ÷ 4 = 0.125 can of tomato paste
1 ÷ 4 = 1/4 tsp parsley

1 1/2 ÷ 4 = 0.375 tsp basil
1 ÷ 4 = 1/4 tsp oregano
1 ÷ 4 = 1/4 tsp sugar
1/2 ÷ 4 = 0.125 tsp worchestershire sauce
1/2 ÷ 4 = 0.125 tsp seasoning salt
1 ÷ 4 = 1/4 bay leaf

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