MATH SOLVE

4 months ago

Q:
# Does y varies directly as x in this function y=x+2

Accepted Solution

A:

Answer:NoStep-by-step explanationExplanation:
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