Is y = 3.4x + 5 proportional or non-proportional and why?
If y were proportional to x then if you double x, you double y
Try x = 1 and x = 2
y = 3.4 + 5 = 8.4
y = 6.8 + 5 = 11.8
I do not think that 11.8 is twice 8.4
However f they gave you
y = 3.4 x + 0
Then it might work
Try x = 1 and x = 2 and see if y doubles
To determine if the equation y = 3.4x + 5 represents a proportional or non-proportional relationship, we need to understand the concept of proportionality.
In mathematics, two quantities are said to be proportional if they have a constant ratio. In other words, if both quantities increase or decrease together at the same rate, then they are proportional. Mathematically, this can be represented as y = kx, where k is the constant of proportionality.
In the given equation, y = 3.4x + 5, we can see that there is an additional constant term (5) added to the multiple of x, which means the relationship is not proportional. If it were proportional, the equation would be of the form y = kx.
In this case, the constant term of 5 introduces a fixed value that is not dependent on the value of x. Therefore, as x increases or decreases, y will not change at a constant rate, indicating a non-proportional relationship.
Hence, the equation y = 3.4x + 5 represents a non-proportional relationship.