1
Question
If n varies directly as m, complete the following table.
m
3
5
6.5
...
1.25
n
12
20
...
28
...
| m | 3 | 5 | 6.5 | ... | 1.25 |
| n | 12 | 20 | ... | 28 | ... |
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Solution
It is given that n varies directly as m i.e. .
∴ n = km, where k is constant of variation
When m = 3, n = 12.
∴ 12 = k × 3
⇒ k = 4
So, the equation of variation is n = 4m.
When m = 6.5,
n = 4 × 6.5 = 26
When n = 28,
28 = 4n
⇒ n = 7
When m = 1.25,
n = 4 × 1.25 = 5
The complete table is given below.
m
3
5
6.5
7
1.25
n
12
20
26
28
5
It is given that n varies directly as m i.e. .
∴ n = km, where k is constant of variation
When m = 3, n = 12.
∴ 12 = k × 3
⇒ k = 4
So, the equation of variation is n = 4m.
When m = 6.5,
n = 4 × 6.5 = 26
When n = 28,
28 = 4n
⇒ n = 7
When m = 1.25,
n = 4 × 1.25 = 5
The complete table is given below.
| m | 3 | 5 | 6.5 | 7 | 1.25 |
| n | 12 | 20 | 26 | 28 | 5 |
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