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The constant of proportionality of 100 cm in 1 meter is 0.01

How to determine the constant of proportionality?

The statement is given as:

100 cm in 1 meter

Rewrite as:

x cm in y m

Express as ratio

100 : 1 = x : y

Express as fraction

100/1 = x/y

Divide

100 = x/y

Make y the subject

y = x/100

Divide

y = 0.01x

A direct proportion is represented as y = kx

Where k represents the constant of proportionality.

So, we have:

k = 0.01

Hence, the constant of proportionality is 0.01

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