Answer:
[tex]f(x) = 9x[/tex]
Step-by-step explanation:
Given
The attached table
Required
Rule of the table
First, we calculate the slope(m)
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (3,27)[/tex]
[tex]m = \frac{27 -0}{3 - 0}[/tex]
[tex]m = \frac{27}{3}[/tex]
[tex]m = 9[/tex]
The table equation is:
[tex]y - y_1 = m(x - x_1)[/tex]
So, we have:
[tex]y - 0 = 9(x - 0)[/tex]
[tex]y - 0 = 9(x)[/tex]
[tex]y= 9x[/tex]
Hence:
[tex]f(x) = 9x[/tex]
