Verified Answer :

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y varies directly as x, and y =16 when x=8. Find y when x=16
y is double x
so when x=16
y=16x2 which equals 32

For this case, since the variation is direct then we have a relation of the form:

\(y = kx
\)

Where,

k: proportionality constant

To find k we substitute the following data:

y = 16 when x = 8

We have then:

\(16 = k8
\)

Clearing the value of k we have:

\(k = \frac{16}{8}

k = 2
\)

Then, the equation is:


\(y = 2x
\)

Substituting the value of x = 16 we have:

\(y = 2 (16)

y = 32
\)

Answer:

The value of y for x = 16 is:

\(y = 32\)