Complete the explanation of why the relationship is not linear.
x 1 2 3 4
y 3.7 7.7 11.7 16.7
The relationship is not linear because the (y-intercept or rate of change) is (not constant, constant, not zero or zero)
How would I be able to do this or figure this one out. This is very confusing.
I meant to put 1 over 3.7 and 2 over 7.7 and so on and don't know why it showed up that way.
I think the proper answer is because the y-intercept is not zero or 0 is this right?
To determine whether a relationship is linear or not, we need to examine the pattern between the x-values and y-values. In this case, we have the following data:
x: 1, 2, 3, 4
y: 3.7, 7.7, 11.7, 16.7
To check for linearity, we can calculate the differences in the y-values for each pair of consecutive x-values. Let's compute the differences:
(7.7 - 3.7) = 4
(11.7 - 7.7) = 4
(16.7 - 11.7) = 5
As you can see, the differences are not constant. In a linear relationship, the differences between consecutive y-values should be the same. Since the differences in this case are not constant, the relationship is not linear.
Hence, to complete the explanation,
The relationship is not linear because the rate of change is not constant.