Answered

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Write the linear equation that gives the rule for this table.

x f(x)
0 0
1 9
2 18
3 27

Write The Linear Equation That Gives The Rule For This Table X Fx 0 0 1 9 2 18 3 27 class=

Sagot :

MrRoyal

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]

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