Question

Complete the table if x and y vary directly.

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x 3.5 4 7.5 ---

y ----- 8 ---- 15

Answer 1

Step-by-step explanation:

It is given that,

x and y are directly proportional.

Hence,

y

x

= constant.

Now, for the first pair,

y

x

=

45

3

=

15

1

Hence,

For 2nd pair,

y

1

x

1

=

15

1

⇒

y

1

5

=

15

1

⇒y

1

=5×15=75

For the 3rd pair,

y

2

x

2

=

90

x

2

=

15

1

⇒x

2

=

15

90

=6

For 4th pair,

y

3

x

3

=

120

x

3

=

15

1

⇒x

3

=

15

120

=8

For 5th pair,

y

4

x

4

=

y

4

10

=

15

1

⇒y

4

=10×15=150

Hence, The complete table is as follows:

x

3

5

6

8

10

y

45

75

90 120

150