Question

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

below?
10
3,9.6)
Height = Constant.Width
12, 6.4)
Height
(1,3.2)
(0.5,1.6)
Width

Answer 1

The question is missing the graph. So, it is attached below.

Answer:

(D) 3.2

Explanation:

Given:

A graph of height versus width.

The equation given is:

Height = constant × Width

Rewriting in terms of 'constant'. This gives,

`\textrm{Constant}=(Height)/(Width)`------------- (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:

`(x, y) = (0.5, 1.6), (1, 3.2), (2, 6.4)\ and\ (3, 9.6)`.

Now, any point will satisfy equation (1).

Consider the point (0.5, 1.6). So, height = 1.6 and width = 0.5. Therefore,

`\textrm{Constant}=(Height)/(Width)\\\\\textrm{Constant}=(1.6)/(0.5)=3.2`

Also, we observe that for all the remaining points,

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

Hence, the value of the constant is 3.2.

Option (D) is correct.