when
.
Find
when
.
Find the constant of variation of the equation. \ \
\The statement
varies directly as
, means that when
increases,
increases by the same factor.
Hence
and
always have the same ratio.
The constant of variation of the equation and the slope of the line have the same value.
\
(Direct variation formula)
Find
.
(Substitute
and
)
(Simplify)
Therefore, the direct variation of the equation is
.
Find
when
.
(Direct variation of the equation)
(Substitute
)
(Divide each side by
)
(Cancel common terms)
Therefore, the value of
is
.
\ \
The value of
is
.