Question

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

Answer 1

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}* 0.5\\\\\Rightarrow \textup{constant}=(1.6)/(0.5)=(16)/(5)=3.2.`

Also, we can see that

`(3.2)/(1)=(6.4)/(2)=(9.6)/(3)=3.2.`

Thus, the value of the constant is 3.2.

Option (D) is correct.

Answer 2

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