Option B: 50 is the value of the constant.
Explanation:
From the graph, the coordinates are [tex](4,12.5)[/tex] , [tex](5,10)[/tex] , [tex](10,5)[/tex] and [tex](20,2.5)[/tex]
Where the x coordinates denotes the width and the y - coordinates denotes the height.
Also, given that [tex]Height =\frac{ { Constant }}{{ Width }}$[/tex]
We need to determine the value of the constant
Value of the constant:
The value of the constant can be determined using the formula,
[tex]Height \times weight=Constant[/tex]
Since, all the coordinates lie on the same line, then all the coordinates have the constant.
Substituting the coordinate [tex](4,12.5)[/tex] in the above formula, we get,
[tex]4\times 12.5=Constant[/tex]
[tex]50=Constant[/tex]
Therefore, the value of constant is 50.
Hence, Option B is the correct answer.
