According to the graph, what is the value of the constant in the equation
below?
2 +
1.8
Constant
Height =
Width
1.6+
(0.5, 1.6)
1.47
1.2 +
Height
1+
(0.8, 1)
0.8
0.6
(1.6, 0.5)
(2.0.4)
0.4+
0.2
2
0.2 0.4 0.6 0.81 1.2 1.4 1.6 1.8
Width

Inverse relations are defined over two or more quantities when the increase in one quantity decreases the other while the decrease in one quantity increases the other.

If two quantities a and b are inversely related, it is shown as a ∝ 1/b, which is written as a = k/b, where k is the constant of proportionality, used to remove the proportionality sign.

How to solve the question?

In the question, we are shown a graph that shows an inverse relationship between height and width.

The inverse relationship between height and width can be shown as:

Height ∝ 1/Width, which can be further shown as Height = Constant/Width, where the constant is taken to remove the sign of proportionality.

To find the value of the constant, we input the values of the height and the respective width from one of the point on the graph.

Thus, Height = Constant/Width,

or, 1 = Constant/0.8 {Taking the point (0.8, 1)},

or, Constant = 0.8.

Thus, the value of the constant for the given inverse relationship is 0.8. Hence, option B is the right choice.

Learn more about inverse relationships at

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According to the graph, what is the value of the constant in the equation below? 2 + 1.8 Constant Height = Width 1.6+ (0.5, 1.6) 1.47 1.2 + Height 1+ (0.8, 1) 0.8 0.6 (1.6, 0.5) (2.0.4) 0.4+ 0.2 2 0.2 0.4 0.6 0.81 1.2 1.4 1.6 1.8 Width

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What are inverse relations?

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Otras preguntas

According to the graph, what is the value of the constant in the equation
below?
2 +
1.8
Constant
Height =
Width
1.6+
(0.5, 1.6)
1.47
1.2 +
Height
1+
(0.8, 1)
0.8
0.6
(1.6, 0.5)
(2.0.4)
0.4+
0.2
2
0.2 0.4 0.6 0.81 1.2 1.4 1.6 1.8
Width