Vectors can be used as a way to represent ratio and proportion. This is a list of possible ways you can use the ratios are:

- Converting temperature from Celsius to Fahrenheit and vice versa
- Converting sizes and amounts (eg cups to mL)
- Cooking/baking in batches
- Cooking time with respect to its size and/or weight
- Estimated cost of a dish
- Amount of serving

For example, we the ingredients of a recipe that can yield 30 cookies:

(C)1/2 cup (1 stick) unsalted butter

(D)3/4 cup packed dark brown sugar

(E)3/4 cup sugar

(F)2 large eggs

(G)1 teaspoon pure vanilla extract

(H)1 (12-ounce) bag semisweet chocolate chips, or chunks

(I)2 1/4 cups all-purpose flour

(J)3/4 teaspoon baking soda

(K)1 teaspoon fine salt

Let’s say that these amount of cookies can feed 3 people. You can represent the ratio of number of people fed(A), amount of cookies(B), and the ingredients(C-K) in the set of R^11 where:

A:B:C:D:E:F:G:H:I:J:K

with the values:

3:30:0.5:0.75:2:1:1:2.25:0.75:1

If you want enough cookies to feed 30 people, you’d have to multiply this ratio by 10.

Not following the correct ratio might end up: (1) not being edible, (2) not having enough cookies, and (3) not being able to feed everyone and causing World War 10.

References:

http://mathcentral.uregina.ca/beyond/articles/Cooking/Cooking1.html

https://www.reference.com/food/math-used-cooking-b7b5f8ef8bc81e81

http://www.learner.org/interactives/dailymath/cooking.html

http://www.foodnetwork.com/recipes/food-network-kitchens/chocolate-chip-cookies-recipe4.html?oc=linkback

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