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A proposal will make years that end in double zeroes a leap year only if the year leaves a remainder of 200 or 600 when divided by 900. Under this proposal, how many leap years will there be that end in double zeroes between 1996 and 2096?

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If there are about 7.85 billion people now.

If the growth rate of 600 million / year.

From 2030 the growth rate will drop to 450 million per year.

From 2050 to 135 million / year.

From 2080 to 30 million / year.

From 2100 to -2 million / year.

As of 2160 there are 7 billion people.

1a) How many people will there be in 2030?

1b) How many people will there be in 2050?

1c) How many people will there be in 2080?

1d) How many people are there in 2100?

1e) In which year are there the most residents?

1f) How many people are there when there are most?

Asterisk task: If you want you can assume the inhabitants in the different continents!

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Have a good time !

 

1.)  Some punch is made by mixing grape juice and bubbly water in a ratio of 4 to 3. Give at least five different pairs of quantities of grape juice and bubbly water that you could use to make the punch mixture in that ratio. Include at least two examples that involve fractions or mixed numberquantities. Show or explain why all the mixtures are in that same ratio of 5 to 2 using a method your choice (i.e. double-sided number line, strip diagram, batch table).

 

 

2.)  Using a ratio of 3 to 8;

 

a.)  Give two different ways of using this ratio with different ‘part-to-part’ perspectives.

 

 

b.)  Give two different ways of using this ratio with a ‘part-to-whole’ perspective.

 

 

3.)  A drink mixture is made by mixing cola and lemon-lime soda in a ratio of 5 to 3. How much cola and how much lemon-lime soda will you need to make 240 cups of the drink mixture?  Complete either (a) OR (b).

 

(a) Show how to solve the problem from the multiple-batches perspective by reasoning about multiplication and division with quantities. You can support your work with a table or double-sided number line.

 

(b) Show how to solve the problem from the variable-parts perspective by reasoning about multiplication and division with quantities. You can support your work with a strip diagram.

 

 

4.)  Traveling at a constant speed, a race car goes 15 miles every 6 minutes.  Use the unit rate method to solve the following:  (a) How far does the race car go in 15 minutes?  (b) How long does it take the race car to go 20 miles?

 

 

5.)  A type of fertilizer is made by mixing nitrogen and phosphate in an 8 to 3 ratio. For 35 kilograms of nitrogen, how many kilograms of phosphate are needed to make that type of fertilizer?

 

 

6.)  To make jewelry, jewelers often mix gold and copper in a 7 to 5 ratio. How much gold should a jeweler -mix with 42 grams of copper?​

 

 

7.)  You need 3 cups of grape juice for a recipe that makes 4 servings. How many cups of grape juice will you need if you want to make 10 servings of the same recipe?

8.)  Consider all ramps that could be built for which the ratio of height to length is 2 cm to 7 cm. Let x be the unspecified length of a ramp in feet, which can vary, and let y be the corresponding height of the ramp in feet. Derive and explain an equation of the form y = c•x for a suitable constant c (which you should find).

 

Problem 13. Daphne's Daisies sells two types of pots of flowers, Daisy Pot and Fern Pot. They have only enough pots to sell a total of 50 flower pots per day. There is a commitment to make at least 20 Daisy Pots and at least 10 Fern Pots every day. In addition, the shop has a profit of $6 per Daisy Pot and $4 per Fern Pot sold. If the shop makes the correct number of each type of flower pot to maximize their profit on a given day, how many of each type of flower pots will be made, and what will the profit be? A) 20 Daisy Pots and 30 Fern Pots for a profit of $240; B) 100 Daisy Pots and 10 Fern Pots for a profit of $600; C) 40 Daisy Pots and 10 Fern Pots for a profit of $280; D) 50 Daisy Pots and 0 Fern Pots for a profit of $300; E) 0 Daisy Pots and 50 Fern Pots for a profit of $200; F) none of these.

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