The rules of a dataset are what guide the formation of the dataset. The rule that describes how to find the number of legs for any number of insects.
- Add 6 or
- [tex]y = 6x[/tex]
Let:
[tex]x \to[/tex] number of insects
[tex]y \to[/tex] number of legs
From the table (see attachment), we notice the following:
As the number of insects increases by 1, the number of legs increases by 6.
Hence, the rule that describes how to find the number of legs is "Add 6"
A better approach is as follows:
From the table we have:
[tex](x_1,y_1) = (1,6)[/tex]
[tex](x_2,y_2) = (2,12)[/tex]
Calculate the slope (m) of these points
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{12 - 6}{2-1}[/tex]
[tex]m = \frac{6}{1}[/tex]
[tex]m = 6[/tex]
The equation is then calculated as:
[tex]y =m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 6(x - 1) + 6[/tex]
[tex]y = 6x - 6 + 6[/tex]
[tex]y = 6x[/tex]
Hence, the rule is:
- Add 6 or
- [tex]y = 6x[/tex]
Any of the above, can be stated as the rule that how to find the number of legs for any number of insects.
Read more about linear functions at:
https://brainly.com/question/21107621
