Answer:
Table 3
Explanation:
A linear relationship will have constant rate of change(slope) for all x values
Rate of change = Δf(x)/Δx
where Δf(x) = change in values of f(x)
and Δx = corresponding change in values of x
Only table 3 has this constant rate of change:
- Between x = -1 and x = 0,
Δf(x) = -1 - (-3) = -1 + 3 = 2
Δx = 0 - (-1) = 1
Δf(x)/Δx = 2/1 = 2
- Between x = 1 and x = 3,
Δf(x) = 5 - 1 = 4
Δx = 3 - 1 =2
Δf(x)/Δx = 4/2 = 2
This slope of 2 is the same if you take any two pairs of x, f(x) values in that table
Hence constant slope = linear relation