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प्रश्न
Find the constant of variation from the table given below:
| x | 3 | 5 | 7 | 9 |
| y | 12 | 20 | 28 | 36 |
Set up a table and solve the following problems. Use unitary method to verify the answer.
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उत्तर
\[\text{ Since it is a direct variation, } \frac{x}{y} = k . \]
\[\text{ For x = 3 and y = 12, we have: } \]
\[k = \frac{3}{12} = \frac{1}{4}\]
\[\text{ Thus, in all cases, k } = \frac{1}{4}\]
संबंधित प्रश्न
In which of the following table x and y vary inversely:
| x | 5 | 20 | 10 | 4 |
| y | 20 | 5 | 10 | 25 |
It x and y vary inversely, fill in the following blank:
| x | 16 | 32 | 8 | 128 |
| y | 4 | ... | ... | 0.25 |
If 36 men can do a piece of work in 25 days, in how many days will 15 men do it?
1200 men can finish a stock of food in 35 days. How many more men should join them so that the same stock may last for 25 days?
A group of 3 friends staying together, consume 54 kg of wheat every month. Some more friends join this group and they find that the same amount of wheat lasts for 18 days. How many new members are there in this group now?
If 40 workers can do a project work in 8 days, then _________ workers can do it in 4 days
Both x and y are said to vary ______ with each other if for some positive number k, xy = k.
When two quantities are related in such a manner that if one increases and the other decreases, then they always vary inversely.
If a and b vary inversely to other, then find the values of p, q, r ; x, y, z and l, m, n.
| a | 2 | y | 6 | 10 |
| b | x | 12.5 | 15 | z |
If a and b vary inversely to other, then find the values of p, q, r ; x, y, z and l, m, n.
| a | l | 9 | n | 6 |
| b | 5 | m | 25 | 10 |
