Advertisements
Advertisements
Question
If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is ______.
Advertisements
Solution
If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is 8.
Explanation:
x varies inversely as y.
In inverse proportion, xy = k ...(Constant)
If x = 4 and y = 6, then k = 4 × 6 = 24
Now, when x = 3, then `y = k/x`
⇒ `y = 24/3 = 8`
APPEARS IN
RELATED QUESTIONS
In which of the following table x and y vary inversely:
| x | 9 | 24 | 15 | 3 |
| y | 8 | 3 | 4 | 25 |
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?
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?
Mohanrao took 10 days to finish a book, reading 40 pages every day. How many pages must be read in a day to finish it in 8 days?
Which of the following vary inversely with each other?
If two quantities p and q vary inversely with each other then ______ of their corresponding values remains constant.
Length of a side of an equilateral triangle and its perimeter vary inversely with each other.
When two quantities are related in such a manner that if one increases and the other decreases, then they always vary inversely.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
The number of people working and the time to complete a given work.
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.
