Question

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

Answer 1

The point (1, 3.2) can be used to advantage, for it tells you
  3.2 = Constant×1

The appropriate selection is
  D.  3.2

Answer 2

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

$1.6=\textup{constant}\times 0.5\\\\\Rightarrow \textup{constant}=\dfrac{1.6}{0.5}=\dfrac{16}{5}=3.2.$

Also, we can see that

$\dfrac{3.2}{1}=\dfrac{6.4}{2}=\dfrac{9.6}{3}=3.2.$

Thus, the value of the constant is 3.2.

Option (D) is correct.