Question

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

Answer 1

Please check the explanation.

Explanation:

The slope-intercept form of the line equation

y = mx+b

where

• m is the rate of change or slope

• b is the y-intercept

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

Given

• Rate of change or slope = m = 3

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

• y-intercept b = 0

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.