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3 years ago

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

Mathematics

1 answer:

love history [14]3 years ago

7 0

Answer:

The value of the constant is 3

Step-by-step explanation:

Let

y ----> the height

x ----> the width

we have

$y=kx$

This is the equation of a linear direct variation

The equation of the line passes through the origin

we have the points

(0.5,1.5), (2,6) and (3,9)

see the attached figure to better understand the problem

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

For (0.5,1.5) ----> $k=\frac{1.5}{0.5}=3$

For (2,6) ----> $k=\frac{6}{2}=3$

For (3,9) ----> $k=\frac{9}{3}=3$

therefore

The value of k is equal to 3

The linear equation is

$y=3x$

$Height=3Width$

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In order to solve this we can start by drawing a sketch of the problem (see attached picture)

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