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jenyasd209 [6]
3 years ago
11

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

Mathematics
1 answer:
wolverine [178]3 years ago
4 0

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,

\textrm{Constant}=\frac{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}=\frac{Height}{Width}\\\\\textrm{Constant}=\frac{1.6}{0.5}=3.2

Also, we observe that for all the remaining points,

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

Hence, the value of the constant is 3.2.

Option (D) is correct.

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