Which table could be a partial set of values for a linear function?

A. x y
0 0
1 1
2 8
3 27


B. x y
0 0.0
1 0.5
2 1.0
3 1.5


C. x y
0 0
1 1
2 4
3 9


D. x y
0 0.0
1 0.5
2 2.0
3 4.5

Respuesta :

The answer is letter B. The partial set of values for a linear function are on that table

Table B could be a partial set of values for a linear function.

  • A Linear function is the one whose graph represents a line.

Also, the value of dependent and independent variable in linear function change at a constant rate.

Now, in table A,C and D.

A.          

x   y

0   0        

1   1

2   4

3   9

C.

x   y

0   0

1   1

2   8

3   27

D.

x      y

0    0.0

1    0.5

2    2.0

3    4.5

In the tables A,C,D we see that the values of y do not change here at a constant rate.

Now, in table B.

x      y

0    0.0

1    0.5

2    1.0

3    1.5

Here the values of y changes at a constant rate.

that is 0.5 - 0.0=0.5 and 1.0 - 0.5 = 0.5

So, these are the values of a linear function.

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