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Joel0920

The "constant of proportionality" is the value that relates the two amountsExample: you are paid $20 an hour (continued)The constant of proportionality is 20 because:Earnings = 20 × Hours worked

This can be written:  y = kx

Where k is the constant of proportionality

Answer:

constant of proportionality is \(\frac{2}{5}\)

Step-by-step explanation:

The direct proportionality says that:

\(y \propto x\)

then the equation is in the form of:

\(y = kx\) .......[1]

where, k is the constant of proportionality.

As per the statement:

Given the ratio 2/5

i.e,

\(\frac{y}{x} = \frac{2}{5}\)

then using [1] we have;

\(\frac{y}{x}=k\)

⇒\(\frac{2}{5} = k\)

or

\(k= \frac{2}{5}\)

Therefore, the constant of proportionality for the ratio of 2/5 is; \(\frac{2}{5}\)

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