Question

What is the constant proportionally of the graph
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Answer 1

The constant proportionally of the graph is:

• k = 8

Explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

here 'k' is called the constant of proportionality.

From the graph, it is clear that:

at x = 0.5, the value of y = 4

so substituting x = 0.5 and y = 4 in the equation

k = y/x

k = 4/0.5

k = 8

at x = 1, the value of y = 8

so substituting x = 1 and y = 8 in the equation

k = y/x

k = 8/1

k = 8

Therefore, the constant proportionally of the graph is:

• k = 8