Advertisements
Advertisements
Question
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.
Advertisements
Solution
\[\text{ Since it is a direct variation, } \frac{x}{y} = k . \]
\[\text{ For x = 3 and y = 12, we have: } \]
\[k = \frac{3}{12} = \frac{1}{4}\]
\[\text{ Thus, in all cases, k } = \frac{1}{4}\]
RELATED QUESTIONS
Which of the following are in inverse proportion?
Area of cultivated land and the crop harvested
In which of the following table x and y vary inversely:
| x | 4 | 3 | 12 | 1 |
| y | 6 | 8 | 2 | 24 |
If 40 workers can do a project work in 8 days, then _________ workers can do it in 4 days
6 pumps are required to fill a water sump in 1 hr 30 minutes. What will be the time taken to fill the sump if one pump is switched off?
Forty students stay in a hostel. They had food stock for 30 days. If the students are doubled then for how many days the stock will last?
x varies inversely as twice of y. Given that when y = 6, the value of x is 4. Find the value of x when y = 8
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 time taken by a train to cover a fixed distance and the speed of the train.
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 packet of sweets was distributed among 10 children and each of them received 4 sweets. If it is distributed among 8 children, how many sweets will each child get?
