Question

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

Answer 1

Answer:

$f(x) = 9x$

Step-by-step explanation:

Given

The attached table

Required

Rule of the table

First, we calculate the slope(m)

$m = \frac{y_2 -y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (3,27)$

$m = \frac{27 -0}{3 - 0}$

$m = \frac{27}{3}$

$m = 9$

The table equation is:

$y - y_1 = m(x - x_1)$

So, we have:

$y - 0 = 9(x - 0)$

$y - 0 = 9(x)$

$y= 9x$

Hence:

$f(x) = 9x$