Advertisements
Advertisements
Question
Find constant of variation and write equation of variation for the example given below.
s ∝ \[\frac{1}{t^2}\] ; if s = 4 then t = 5
Solution
`"s" = "k"/"t"^2` ...(k is a constant)
s × t2 = k ...(equestion of variation)
Substituting s = 4, t = 5
s × t2 = k ...(equation )
4 × 52 = k
4 × 25 = k
k = 100 ...(The constant of variation)
s × t2 = 100 ...(is the equation of variation)
RELATED QUESTIONS
Write the following statement using symbol of variation.
The wavelength of sound (l) and its frequency (f) are in inverse variation.
Write the following statement using symbol of variation.
The intensity (I) of light varies inversely with the square of the distance (d) of a screen from the lamp.
`x ∝ 1/(sqrty) ` and when x = 40 then y = 16. If x = 10, find y.
x varies inversely as y, when x = 15 then y = 10, if x = 20 then y = ?
The information about numbers of workers and number of days to complete a work is given in the following table. Complete the table.
| Number of workers | 30 | 20 | 10 | ||
| Days | 6 | 9 | 12 | 36 |
Find constant of variation and write equation of variation for the example given below.
p ∝ \[\frac{1}{q}\]; if p = 15 then q = 4
Find constant of variation and write equation of variation for the example given below.
z ∝ \[\frac{1}{w}\] ; when z = 2.5 then w = 24
Find constant of variation and write equation of variation for the example given below.
x ∝ \[\frac{1}{\sqrt{y}}\] ; if x = 15 then y = 9
The boxes are to be filled with apples in a heap. If 24 apples are put in a box then 27 boxes are needed. If 36 apples are filled in a box how many boxes will be needed?
If x and y vary inversely, find the values of l, m, and n :
| x | 24 | 32 | m | 16 |
| y | l | 12 | 8 | n |
