Answer:
x y
1 0.5
2 1
3 1.5
4 2
Table (1) represents a linear functions.
Step-by-step explanation:
Given : Tables with x and y values.
We have to choose the table that represents a linear function.
Since, A linear function is of the form y = mx + c , where m is slope and c is y- intercept
Consider the table (1),
x y
1 0.5
2 1
3 1.5
4 2
Consider two points , (1,0.5) and (2,1)
0.5 = m(1) + c
and 1 = m(2) + c
Subtract both , we have,
m = 0.5
and Put m = 0.5 back, we have,
c = 0
Thus, y = 0.5x
Thus, Table (1) represents a linear functions.
