The length of the entire plank is B. [tex]$x \leq 20$[/tex].
Step-by-step explanation:
Step 1:
It is given that each section is at most [tex]2\frac{1}{2}[/tex] meters long. The entire length, x of the plank is cut into 8 such sections.
So to calculate the length of x, we use the following formula,
The length of the entire plank = 8 (the length of each section).
By converting [tex]2\frac{1}{2}[/tex] into decimals, we get each section is 2.5 meters long.
Step 2:
The length of the entire plank = [tex]8(2.5) = 20[/tex] meters.
In the question, it is given that each section is at most 2.5 meters long meaning the length can be 2.5 meters or lesser but cannot be higher.
So the entire length can be 20 meters or lesser but cannot be any higher.
So option B. [tex]$x \leq 20$[/tex] is the length of the entire plank in meters.
