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Verified Answer :

calculista

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form \(y/x=k\) or \(y=kx\)

In this problem we have

\(p=20.8\\q=31.2\)

Find the value of k

\(k=q/p\)

Substitute the values

\(k=31.2/20.8\)

\(k=1.5\)

The linear equation is

\(q=1.5p\)

For \(q=15.3\)

Find the value of p

Substitute in the linear equation and solve for p

\(15.3=1.5p\)

\(p=15.3/1.5=10.2\)

therefore

the answer is the option a

\(10.2\)