**Rate Growing Post: Part 1**

**Definitions:**

**Ratio:**compares two quantities measured in the same unit

**Rate:**compares two quantities measured in different units

The

**difference**between rate and ratio is that the quantities in a rate is measured in**different units**while the quantities in a ratio is measured in the**same unit**.**Page 60**

**5.**What is the unit rate in each?

**a)**A blue whale eats 8 t of krill in 2 days.

The unit rate is

**4 t/day**.**b)**The cruising speed of a blue whale allows it to travel 193 km in 10 h.

The unit rate is

**19.3 km/h**.**c)**A bull moose bellows 15 times in 2 1/2 h.

The unit rate is

**6 bellows/h**.**Page 61**

**13.**The table shows driving information for three drivers. Metric fuel consumption is measured in L/100 km, or litres per kilometre.

**a)**What is the fuel consumption for Sarah’s vehicle in litres per kilometre? Give your answer to four decimal places.

The fuel consumption for Sarah's vehicle in litres per kilometre is

**0.0714 L/km**.**b)**How could you change the answer in part a) to express it in L/100 km?

To change answer in part a) so that it expresses it in L/100 km, you need to multiply 1 km by 100 and since your multiplying that by 100 you need to do the same for the litres.

**c)**Which driver’s vehicle had the lowest fuel consumption?

Joe's vehicle had the lowest fuel consumption because:

Sarah's vehicle:

**60/840 = 0.0714 L/km**Joe's vehicle:

**28/400 = 0.0070 L/km**Martin's vehicle:

**20/245 =****0.0816 L/km**Based on this, Joe's vehicle seemed to have the lowest fuel consumption.

**Coin Math Question:**

What is the rate for coins per person if there were 1300 coins in a jar (American currency) and the coins were divided among 100 people?

The rate would be

**13 coins/person**.**1300/100 = 13 coins**.

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**Part 2**

**This is a recipe for spaghetti sauce that serves 4 people.**

**1)**What would the recipe look like if it had to serve

**10 people**? Show your calculations.

To rewrite the recipe so that it serves 10 people, you have to multiply each ingredient by 2.5 because to get from 4 people to 10 people, you multiply by 2.5.

**Calculations:**

1/2 lb ground beef x 2.5 = 1 1/4 lb ground beef

1 medium onion diced x 2.5 = 2 1/2 medium onion diced

1 celery finely sliced x 2.5 = 2 1/2 celery finely sliced

1 clove garlic x 2.5 = 2 1/2 clove garlic

14 oz can of tomatoes chopped x 2.5 = 35 oz can of tomatoes chopped

1/2 can of tomato paste x 2.5 = 1 1/4 can of tomato paste

1 tsp parsley x 2.5 = 2 1/2 tsp parsley

1 1/2 tsp basil x 2.5 = 3 3/4 tsp basil

1 tsp oregano x 2.5 = 2 1/2 tsp oregano

1 tsp sugar x 2.5 = 2 1/2 tsp sugar

1/2 tsp Worchestershire Sauce x 2.5 = 1 1/4 tsp Worchestershire Sauce

1/2 tsp seasoning salt x 2.5 = 1 1/4 tsp seasoning salt

1 bay leaf x 2.5 = 2 1/2 bay leaf

**Revised spaghetti sauce recipe (serves 10 people):**

1 1/4 lb ground beef

2 1/2 medium onion diced

2 1/2 celery finely sliced

2 1/2 clove garlic

35 oz can of tomatoes chopped

1 1/4 can of tomato paste

2 1/2 tsp parsley

3 3/4 tsp basil

2 1/2 tsp oregano

2 1/2 tsp sugar

1 1/4 tsp Worchestershire Sauce

1 1/4 tsp seasoning salt

2 1/2 bay leaf

**2)**What would the recipe look like if you had to only serve

**1 person**? Show your calculations.

To rewrite the recipe so that now it serves only one person, you have to divide each ingredient by 4 because to get from 4 people to 1 person you divide by 4.

**Calculations:**

1/2 lb ground beef /4 = 1/8 lb ground beef

1 medium onion diced /4 = 1/4 medium onion diced

1 celery finely sliced /4 = 1/4 celery finely sliced

1 clove garlic /4 = 1/4 clove garlic

14 oz can of tomatoes chopped /4 = 3 1/2 oz can of tomatoes chopped

1/2 can of tomato paste /4 = 1/8 can of tomato paste

1 tsp parsley /4 = 1/4 tsp parsley

1 1/2 tsp basil /4 = 0.375 / 7.5ml tsp basil

1 tsp oregano /4 = 1/4 tsp oregano

1 tsp sugar /4 = 1/4 tsp sugar

1/2 tsp Worchestershire Sauce /4 = 1/8 tsp Worchestershire Sauce

1/2 tsp seasoning salt /4 = 1/8 tsp seasoning salt

1 bay leaf /4 = 1/4 bay leaf

1 medium onion diced /4 = 1/4 medium onion diced

1 celery finely sliced /4 = 1/4 celery finely sliced

1 clove garlic /4 = 1/4 clove garlic

14 oz can of tomatoes chopped /4 = 3 1/2 oz can of tomatoes chopped

1/2 can of tomato paste /4 = 1/8 can of tomato paste

1 tsp parsley /4 = 1/4 tsp parsley

1 1/2 tsp basil /4 = 0.375 / 7.5ml tsp basil

1 tsp oregano /4 = 1/4 tsp oregano

1 tsp sugar /4 = 1/4 tsp sugar

1/2 tsp Worchestershire Sauce /4 = 1/8 tsp Worchestershire Sauce

1/2 tsp seasoning salt /4 = 1/8 tsp seasoning salt

1 bay leaf /4 = 1/4 bay leaf

**Revised spaghetti sauce recipe (serves 1 person):**

1/8 lb ground beef

1/4 medium onion diced

1/4 celery finely sliced

1/4 clove garlic

3 1/2 oz can of tomatoes chopped

1/8 can of tomato paste

1/4 tsp parsley

0.375/7.5 ml tsp basil

1/4 tsp oregano

1/4 tsp sugar

1/8 tsp Worchestershire Sauce

1/8 tsp seasoning salt

1/4 bay leaf

## 1 comment:

goood job , you did a good job with the colours .

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