Question

A cinnamon bread recipe calls for 3 cup of flour for every cup of milk. Which of the following is false? A. The direct variation equation y = r can be written, where x represents the cups of flour. B. The direct variation equation y = 12x can be written, where x represents the cups of flour. C. The direct variation equation y= 12x can be written, where x represents the cups of milk. D. If one whole cup of milk is used, the recipe will require 12 cups of flour.

Answer 1

Answer:

Option B

Explanations:

Let x represent the cup of milk (because it is the independent variable)

Let y represent the cups of flour (the dependent variable)

The cinnamon bread recipe calls for 3 cups of flour for every 1/4 cups of milk

x = 1/4

y = 3

This means that y increases as x increases. Direct variation.

y α x

y = kx where k is the constant of proportionality

3 = k(1/4)

3 = k/4

k = 4(3)

k = 12

Therefore, the equation representing the direct variation is y = 12x

If we use 1 cup of milk, that is x = 1:

y = 12x

y = 12(1)

y = 12

This means that we have to use 12 cups of flour

Also, if x represents the cup of flour and y represents the cup of milk:

y = 1/12 x

The only false option is option B. It wrongly represents the description