Variation Maths - Variation

Write the following statements using symbol of variation.

1. The wavelength of sound (l) and its frequency (f) are in inverse variation.
2. The intensity (I) of light varies inversely with the square of the distance (d) of a screen from the lamp.

Write the following statements using the symbol of variation.

1. Circumference (c) of a circle is directly proportional to its radius (r).
2. Consumption of petrol (l) in a car and distance traveled by that car (d) are in direct variation.

y varies directly as square root of x. When x = 16, y = 24. Find the constant of variation and equation of variation.

120 bags of half litre milk can be filled by a machine within 3 minutes find the time to fill such 1800 bags ?

If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours ?

Which of the following statements are of inverse variation?
i. Number of workers on a job and time taken by them to complete the job.
ii. Number of pipes of same size to fill a tank and the time taken by them to fill the tank.
iii. Petrol filled in the tank of a vehicle and its cost.
iv. Area of circle and its radius.

x varies inversely as y, when x = 15 then y = 10, if x = 20, then y = ?

If n varies directly as m, complete the following table.

m	3	5	6.5	__	1.25
n	12	20	__	28	__

If m ∝ n and when m = 154, n = 7. Find the value of m, when n = 14.