the constant of variation if x proportion y from the following table is
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Answer:
If x and y are in direct variation, complete the following table:
x
4
8
20
28
y
7
21
Answer
It is given that,
x and y are in direct variation
Hence,
y
x
= constant.
For the 1st pair,
y
x
=
7
4
Now,
For the 2nd pair,
y
1
x
1
=
y
1
8
=
7
4
⇒y
1
=
4
8×7
=14
For the 2nd pair,
y
2
x
2
=
21
x
2
=
7
4
⇒x
2
=
7
21×4
=12
For the 3rd pair,
y
3
x
3
=
y
3
21
=
7
4
⇒y
3
=
4
21×7
=35
For the 4th pair,
y
4
x
4
=
y
4
28
=
7
4
⇒y
4
=
4
28×7
=49
Hence, The complete table is as follows:
x
4
8
12
20
28
y
7
14
21
35
49
Answered by
1
Answer:
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