Brainliest

This graph shows a proportional relationship.



What is the constant of proportionality?

Enter your answer as a ratio in simplified form in the box.
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Brainliest This graph shows a proportional relationship What is the constant of proportionality Enter your answer as a ratio in simplified form in the box class=

Respuesta :

Answer:

the answer is 3/2

Step-by-step explanation:

hope this helps

Answer:

Direct proportionality states that:

if [tex]y \propto x[/tex]

then;

[tex]y = kx[/tex] .....[1] where, k is the constant of proportionality.

As per the statement:

The graph shown a proportional relationship.

From the graph we have;

[tex](\frac{1}{4}, \frac{3}{8})[/tex]

⇒[tex]x = \frac{1}{4}[/tex] and [tex]y = \frac{3}{8}[/tex]

Substitute these values in [1] we have;

[tex]\frac{3}{8} = k \cdot \frac{1}{4}[/tex]

Multiply both sides by 4 we have;

[tex]\frac{3}{2} = k[/tex]

or

[tex]k = \frac{3}{2}[/tex]

Therefore, the constant of proportionality is, [tex]\frac{3}{2}[/tex] or 3: 2

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