Answer: The correct option is (D) 3.2.
Step-by-step explanation: We are given a graph with respect to which we are to find the value of the constant in the following equation.
Height = constant × Width (i)
The graph shows a linear relation between the height and width of some figure.
The width is plotted on the X-axis and the corresponding height is plotted on the Y-axis.
The following four points are plotted n the line:
(x, y) = (0.5, 1.6), (1, 3.2), (2, 6.4) and (3, 9.6).
Since width (x-value) and height (y-value) satisfies equation (i), so we have
[tex]1.6=\textup{constant}\times 0.5\\\\\Rightarrow \textup{constant}=\dfrac{1.6}{0.5}=\dfrac{16}{5}=3.2.[/tex]
Also, we can see that
[tex]\dfrac{3.2}{1}=\dfrac{6.4}{2}=\dfrac{9.6}{3}=3.2.[/tex]
Thus, the value of the constant is 3.2.
Option (D) is correct.
