The linear function that models the data in the table is [tex]y = \frac{3}{2}x + 1[/tex]
The table of values is given as:
x y
-4 -6
-1 -1
0 1
2 4
3 7
The linear equation is calculated using:
[tex]y = \frac{y_2 -y_1}{x_2 - x_1} * (x - x_1) + y_1[/tex]
So, we have:
[tex]y = \frac{4 -1}{2 - 0} * (x - 0) + 1[/tex]
Evaluate the differences
[tex]y = \frac{3}{2}x + 1[/tex]
Hence, the linear function that models the data in the table is [tex]y = \frac{3}{2}x + 1[/tex]
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