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?
y=6x; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 6.
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.
y=x+6; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 6.
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.
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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.

Explanation:

The total amount of flour used (y) will be the summation of the number of cups of whole wheat flour and the number of cups of white flour

We are given that:

Number of cups of whole wheat flour = 6

Number of cups of white flour = x

Therefore:

y = x + 6

Now, we check the constraints:

1- For the value of x:

x represents the number of cups of white flour. The number of cups cannot be negative, however, it can be a decimal/fraction. Therefore, it is a real number. Otto can use either zero cups of white flour or more

This means that, x is any real number greater than or equal to zero

2- For the value of y:

y represents the total amount of flour. We know for sure that he used 6 cups of whole wheat flour, this means that the minimum value of y is 6

If he used no white flour, y will have a value of 6 and if used any amount in x, the y value will be more than 6.

Since x can be a fraction, therefore, y can be a fraction since it depends on x. This means that y is a real number

This means that, y is any real number greater than or equal to 6

Hope this helps :)

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