Make a table that is linear and has a rate of change of 3

Please check the explanation.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

We will have to determine a table that is linear and has a rate of change of 3.

Given

As there is no initial condition given, so we assume that:

now substituting m = 3 and b = 0 in the linear function

y = mx+b

y = 3x+0

y = 3x

Thus, the equation of the linear function with the rate of change or slope 3 is:

y = 3x

MAKING A TABEL:

The given equation

y = 3x

FOR x = 0

substitute x = 0

y = 3(0) = 0

FOR x = 1

substitute x = 1

y = 3(1) = 3

FOR x = 2

substitute x = 2

y = 3(2) = 6

FOR x = 3

substitute x = 3

y = 3(3) = 9

FOR x = 4

substitute x = 4

y = 3(4) = 12

FOR x = 5

substitute x = 5

y = 3(5) = 15

Thus, the table is:

x             y

0            0

1              3

2              6

3               9

4              12

5               15

Please check the attached graph below.

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step-by-step explanation: