Question

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.

Answer 1

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:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

$\dfrac{10-6}{2-1}=\dfrac{p-10}{3-2}$

$\dfrac{4}{1}=\dfrac{p-10}{1}$

$4=p-10$

Adding 10 on both sides, we get

$4+10=p$

$14=p$

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