The tables 2, 3 and 4 represent linear equations. (Correct choice: D)
Which tables do represent linear functions?
Algebraically speaking, linear functions are represented by a expression of the form y = m · x + b, where m is the slope of the function and b is the y-intercept of the line. Slope can be interpretated in accordance with the secant line formula:
m = Δy / Δ x
Where:
- Δx - Change in independent variable.
- Δy - Change in dependent variable.
In other words, a table represents a linear function if for all difference between two consecutive values in x means the same change for two corresponding values in f(x).
After a quick inspection, we find that tables 2, 3 and 4 represent linear as they show the following features:
Table 2: Δx = 1, Δy = 3, Table 3: Δx = 1, Δy = 4, Table 4: Δx = 1, Δy = 2
To learn more on linear equations: https://brainly.com/question/13738061
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