Clare has a recipe for yellow cake. She uses 913 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c cakes using f cups of flour.

Which of these equations represent the relationship between c and f?

c=163f

c=316f

c=37f

c=73f

The equation c = f represents the relationship between c and f ⇒ 3rd answer

Step-by-step explanation:

Let us use the ratio method to find the equation that represents the relation between c and f

∵ Clare uses cups of flour to make 4 cakes

∵ Noah will follow the same recipe

∵ Noah will use f cups of flour to make c cakes

By using the ratio method

→  Name  :  Cup  :  Cake

→  Clare   :        :  4

→  Noah   :   f       :  c

By using cross multiplication

∴ × c = 4 × f

∴ c = 4 f

- Divide both sides by

∴ c = 4 f ÷

- Change to improper fraction by multiplying 9 by 3 and

   then add 1 to the product (9 × 3 = 27 + 1 = 28)

∵ =

∴ c = 4 f ÷

- Change ÷ to × and reciprocal  

∴ c = 4 f ×

∴ c = f

- Simplify it by dividing up and down by 4

∴ c = f

The equation c = f represents the relationship between c and f

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