The question is missing the graph. So, it is attached below.
Answer:
(D) 3.2
Step-by-step explanation:
Given:
A graph of height versus width.
The equation given is:
Height = constant × Width
Rewriting in terms of 'constant'. This gives,
[tex]\textrm{Constant}=\frac{Height}{Width}[/tex]------------- (1)
The width is plotted on the X-axis and the corresponding height is plotted on the Y-axis.
The four points plotted on the line are:
[tex](x, y) = (0.5, 1.6), (1, 3.2), (2, 6.4)\ and\ (3, 9.6)[/tex].
Now, any point will satisfy equation (1).
Consider the point (0.5, 1.6). So, height = 1.6 and width = 0.5. Therefore,
[tex]\textrm{Constant}=\frac{Height}{Width}\\\\\textrm{Constant}=\frac{1.6}{0.5}=3.2[/tex]
Also, we observe that for all the remaining points,
[tex]\dfrac{3.2}{1}=\dfrac{6.4}{2}=\dfrac{9.6}{3}=3.2[/tex].
Hence, the value of the constant is 3.2.
Option (D) is correct.
