Advertisements
Advertisements
Question
In which of the following table x and y vary inversely:
| x | 4 | 3 | 12 | 1 |
| y | 6 | 8 | 2 | 24 |
Advertisements
Solution
\[\text{ Since x and y vary inversely, we have: } \]
\[y = \frac{k}{x}\]
\[ \Rightarrow xy = k\]
\[ \therefore \text{ The product of x and y is constant } . \]
\[\text{ In all cases, the product xy is constant } (i . e . , 24) . \]
\[\text{ Thus, in this case, x and y vary inversely .} \]
APPEARS IN
RELATED QUESTIONS
Two persons could fit new windows in house in 3 days.
One of the persons fell ill before the work started. How long would the job take now?
A work-force of 420 men with a contractor can finish a certain piece of work in 9 months. How many extra men must he employ to complete the job in 7 months?
A person has money to buy 25 cycles worth Rs 500 each. How many cycles he will be able to buy if each cycle is costing Rs 125 more?
Raghu has enough money to buy 75 machines worth Rs 200 each. How many machines can he buy if he gets a discount of Rs 50 on each machine?
If x and y vary inversely as other and x = 3 when y = 8, find y when x = 4 .
It takes 120 minutes to weed a garden with 6 gardeners. If the same work is to be done in 30 minutes, how many more gardeners are needed?
Which of the following vary inversely with each other?
If x varies inversely as y, then
| x | – | 60 |
| y | 2 | 10 |
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Increase in cost and number of shirts that can be purchased if the budget remains the same.
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 |
