Question

According to the graph, what is the value of the constant in the equation below?

Answer 1

Option B: 50 is the value of the constant.

Explanation:

From the graph, the coordinates are $(4,12.5)$ , $(5,10)$ , $(10,5)$ and $(20,2.5)$

Where the x coordinates denotes the width and the y - coordinates denotes the height.

Also, given that $Height =\frac{ { Constant }}{{ Width }}$

We need to determine the value of the constant

Value of the constant:

The value of the constant can be determined using the formula,

$Height \times weight=Constant$

Since, all the coordinates lie on the same line, then all the coordinates have the constant.

Substituting the coordinate $(4,12.5)$ in the above formula, we get,

$4\times 12.5=Constant$

       $50=Constant$

Therefore, the value of constant is 50.

Hence, Option B is the correct answer.