Good morning. I have a question that I'm stuck on. I need to determine if the relationship represented is linear and if it is, then I need to write an equation for it. Help is deeply appreciated.
For x- 2,4,7,10,12,20
For y- 5,7,10,13,15,23
Did you notice that your y values are each 3 more than the x values.
writing that in "math" would say ...
y = x+3
Yes, you are right! Thank you
9414
Good morning! I can definitely help you with that. To determine if the relationship between these sets of numbers is linear, we need to see if there is a constant rate of change between the x-values and the y-values.
First, let's calculate the differences between consecutive x-values and y-values:
For x: 4 - 2 = 2
7 - 4 = 3
10 - 7 = 3
12 - 10 = 2
20 - 12 = 8
For y: 7 - 5 = 2
10 - 7 = 3
13 - 10 = 3
15 - 13 = 2
23 - 15 = 8
Now, let's examine these differences. If the differences between the x-values and the differences between the y-values are the same, then the relationship is linear.
Comparing the differences, we can see that they are not the same. The differences in the x-values are 2, 3, 3, 2, 8, while the differences in the y-values are 2, 3, 3, 2, 8. As the differences are not equal, we can conclude that the relationship is not linear.
Since the relationship is not linear, we cannot find a single equation that represents it accurately. Instead, we can say that the relationship between these sets of numbers is non-linear.