Question

Which linear equation represents a non-proportional relationship between the values of x and the values of y?

1. y = 14x
2. 90x = y
3. y = 4x + 3

Answer 1

The linear equation that represents a non-proportional relationship between the values of x and y is y = 4x + 3.

Step-by-step explanation:

In a non-proportional relationship between the values of x and the values of y, the ratio of y to x is not constant. Therefore, the linear equation that represents a non-proportional relationship is the one that does not have a direct proportional relationship between y and x. Looking at the given options:

1. y = 14x - This equation represents a proportional relationship because the ratio of y to x is constant at 14.
2. 90x = y - This equation represents a proportional relationship because the ratio of y to x is constant at 90.
3. y = 4x + 3 - This equation represents a non-proportional relationship between y and x because the ratio of y to x is not constant.

Therefore, the linear equation that represents a non-proportional relationship between the values of x and the values of y is y = 4x + 3.