Question

Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the value of y, the total amount of flour that Otto used in the recipe, and what are the constraints on the values of x and y?
A. y=6x; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 6.
B.y=6x; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.
C. y=x+6; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 6.
D. y=x+6; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.

Answer 1

Total cups of whole wheat flour used by Otto in the recipe = 6

Total cups of white flour used by Otto in the recipe = x

The total amount of flour that Otto used in the recipe = y

We have to determine the equation which can be used to find the value of y, the total amount of flour that Otto used in the recipe.

Since, Total amount of flour used in this recipe = x + 6

So, y = x + 6 where 'x' is any real number greater than or equal to 0, and 'y' is any real number greater than or equal to 6.

We took 'x' and 'y' as real numbers instead of integers. As, fractional parts of cups of flour can be used in the recipe. For eg: $\frac{1}{2} , \frac{3}{4},..$ which are not in the set of integers, but they are included in the set of Real numbers.

Therefore, the total amount of flour used is: y = x+ 6 where 'x' is any real number greater than or equal to 0, and 'y' is any real number greater than or equal to 6.

So, Option D is the correct answer.