Question

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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Answer 1

Answer:

the answer is 3/2

Step-by-step explanation:

hope this helps

Answer 2

Answer:

Direct proportionality states that:

if $y \propto x$

then;

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

As per the statement:

The graph shown a proportional relationship.

From the graph we have;

$(\frac{1}{4}, \frac{3}{8})$

⇒$x = \frac{1}{4}$ and $y = \frac{3}{8}$

Substitute these values in [1] we have;

$\frac{3}{8} = k \cdot \frac{1}{4}$

Multiply both sides by 4 we have;

$\frac{3}{2} = k$

or

$k = \frac{3}{2}$

Therefore, the constant of proportionality is, $\frac{3}{2}$ or 3: 2