Question

in which of the following tables a and b vary directly also find the constant of variation if a and b are in direct variation a=2.5 b=10​

Answer 1

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