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:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Data represent a linear function. So, slope is always remains same.
[tex]\dfrac{10-6}{2-1}=\dfrac{p-10}{3-2}[/tex]
[tex]\dfrac{4}{1}=\dfrac{p-10}{1}[/tex]
[tex]4=p-10[/tex]
Adding 10 on both sides, we get
[tex]4+10=p[/tex]
[tex]14=p[/tex]
Therefore, the missing value is 14 and option d is correct.
