The point on the number line represents C) [tex]\frac{1}{4}[/tex].
Step-by-step explanation:
Step 1:
The distance between 0 and 1 is split into 4 partitions.
The value for each distance is given by dividing the difference by the number of partitions; [tex]\frac{1-0}{4} = \frac{1}{4} .[/tex]
So each partition represents a value of [tex]\frac{1}{4} .[/tex]
Step 2:
The value of the first partition; [tex](1)(\frac{1}{4} )= \frac{1}{4} ,[/tex],
The value of the second partition; [tex](2)(\frac{1}{4} )= \frac{1}{2} ,[/tex]
The value of the third partition; [tex](3 )(\frac{1}{4}) = \frac{3}{4}[/tex],
The value of the fourth partition; [tex](4 )(\frac{1}{4}) = 1.[/tex]
The point on the number line is in between the zero and the second partition so it is the first partition which has a value of [tex]\frac{1}{4} .[/tex]
