Yes, x and y have a proportional relationship. The constant of proportionality is 7 muffins per cup of flour.
Answer to question 1: Yes, x and y have a proportional relationship. This is because the ratio of y to x is constant. For example, if we divide the number of muffins baked (y) by the volume of flour used (x), we get the same number for each row in the table:
y / x = 7 / 1
= 14 / 2
= 21 / 3
= 28 / 4
= 7 muffins per cup of flour
Answer to question 2: The constant of proportionality is 7 muffins per cup of flour. This is because the ratio of y to x is always 7 muffins per cup of flour.
Note that the constant of proportionality can also be found by dividing any value in the y column by the corresponding value in the x column. For example, dividing 21 muffins by 3 cups of flour gives us the same constant of proportionality:
21 muffins / 3 cups of flour = 7 muffins per cup of flour
Therefore, the equation that represents the proportional relationship between x and y is:
y = 7x
This equation can be used to predict the number of muffins that can be baked (y) for a given volume of flour (x). For example, if we have 4 cups of flour, we can predict that we can bake 28 muffins:
y = 7 * 4 cups of flour = 28 muffins
The probable question may be: "Liz loves to bake blueberry muffins for her friends and family. This table shows the relationship between the volume of flour Liz uses (in cups), x, and the number of muffins she bakes, y.
1) According to the value in the table do x and y have a proportional relationship
2) What is the constant of proportionality? Write your answers as a whole number or decimal."