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
In which of the following table x and y vary inversely:
| x | 5 | 20 | 10 | 4 |
| y | 20 | 5 | 10 | 25 |
In which of the following table x and y vary inversely:
| x | 4 | 3 | 6 | 1 |
| y | 9 | 12 | 8 | 36 |
It x and y vary inversely, fill in the following blank:
| x | 16 | 32 | 8 | 128 |
| y | 4 | ... | ... | 0.25 |
A car can finish a certain journey in 10 hours at the speed of 48 km/hr. By how much should its speed be increased so that it may take only 8 hours to cover the same distance?
Three spraying machines working together can finish painting a house in 60 minutes. How long will it take for 5 machines of the same capacity to do the same job?
Meena had enough money to send 8 parcels each weighing 500 grams through a courier service. What would be the weight of each parcel, if she has to send 40 parcels for the same money?
Length of a side of an equilateral triangle and its perimeter vary inversely with each other.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
The height of a tree and the number of years.
If x varies inversely as y and x = 20 when y = 600, find y when x = 400.
In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?
