The equations of the functions are y = 3x - 5 and y = 3.25x + 2
<h3>What are linear equations?</h3>
Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
<h3>How to write an equation for the tables?</h3>
The given parameters are the datasets represented by the tables
On the table, we have the following points
(x, y) = (2, 1) and (1, -2)
Calculate the slope using
m = (y2 - y1)/(x2 - x1)
So, we have
m = (-2 - 1)/(1- 2)
Evaluate
So, we have
m = 3
The linear equation is then calculated as
y = m(x - x1) + y1
So, we have
y = 3(x - 2) + 1
Evaluate
y = 3x - 5
For the second table, we have
Slope, m = (12 + 1)/(18 - 14)
Evaluate
So, we have
m = 3.25
The linear equation is then calculated as
y = m(x - x1) + y1
So, we have
y = 3.25(x - 0) + 2
Evaluate
y = 3.25x + 2
Hence, the equations of the functions are y = 3x - 5 and y = 3.25x + 2
Read more about linear functions at
brainly.com/question/2476251
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