Answer:
No
Step-by-step explanation
Explanation:
For the given relation:
y
=
x
+
2
we can note that
(
x
,
y
)
=
(
1
,
3
)
is one possible solution.
If
y
varied directly as
x
then multiplying the
x
value (in this case
1
) by any value (for example
7
) would require that the
y
value (in this case
3
) if multiplied by that same value would give a new solution pair.
For the given example with an initial solution pair:
(
1
,
3
)
then
(
1
×
7
,
3
×
7
)
=
(
7
,
21
)
would also need to be a valid solution.
Bit, in this case,
(
x
,
y
)
=
(
7
,
21
)
is not a valid solution pair for
y
=
x
+
2
.
In general for
y
to vary directly as
x
it must be possible to express the relation as
y
=
m
x
for some constant,
m
hope this helps you
