Determine any data values that are missing from the table, assuming that the data represent a linear function.
х
1
2
3
y
6
10

а.
6
15
C. 16
d. 14
b.

Given:

Consider the data table:

x      y

1      6

2     10

3      __

Data represent a linear  function.

To find:

The missing value.

Solution:

Let the missing value be p.

Slope Formula:

Data represent a linear  function. So, slope is always remains same.

Adding 10 on both sides, we get

Therefore, the missing value is 14 and option d is correct.

2x^2+5x+17

your welcome. : )