9. For each of the following Y is directly proportional to X. Copy and complete the table.
a)
|
X |
4 |
20 |
24 |
|
|
|
Y |
|
|
6 |
9 |
11 |
Y is directly proportional to X so
Y=KX (K is constant)
( First we find the value of K)
K=Y/X
( to find the value of K we need values of both X and Y. In column 3 they have given the values of X=24 and Y=6. So we use these values to find the value of K)
K=6/24
K=0.25
(Column 5 value of Y=9)
Y= KX
X=Y/K
X=9/0.25
X=36
(Column 6 value of Y=11)
X=Y/K
X=11/0.25
X=44
(Column 2 value of X=4 the equation will)
Y=KX
Y=0.25 x 4
Y=1
(Column 3 value of X=20}
Y=KX
Y=0.25 x 20
Y=5
|
X |
4 |
20 |
24 |
36 |
44 |
|
Y |
1 |
5 |
6 |
9 |
11 |
b)
|
X |
2 |
3 |
5.5 |
|
|
|
Y |
|
3.6 |
|
9.6 |
11.4 |
Y=KX (K is constant)
( First we find the value of K)
K=Y/X
( to find the value of K we need values of both X and Y. In column 2 they have given the values of X=3 and Y=3.6 So we use these values to find the value of K)
K=3.6/3
K=1.2
(Column 5 value of Y=9.6)
Y= KX
X=Y/K
X=9.6/1.2
X=8
(Column 6 value of Y=11.4)
X=Y/K
X=11.5/1.2
X=9.5
(Column 2 value of X=2 the equation will)
Y=KX
Y=1.2 x 2
Y=2.4
(Column 4 value of X=5.5}
Y=KX
Y=1.2 x 5.5
Y=6.6