The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another.
If x varies directly to y, then y = kx.
Constant of variation k = y/x
If x varies inversely to y, then y = k/x.
Constant of variation k = yx
In each case
one value is given for each of two variables that vary directly. Find the
constant of variation.
Problem 1 :
x = 12, y = 3
Solution :
x = 12, y = 3
y = kx
k = y/x
k = 3/12
k = 1/4
Problem 2 :
d = 120, t = 3
Solution :
d = 120, t = 3
t = kd
k = t/d
k = 3/120
k = 1/40
Problem 3 :
y = 2, z = 18
Solution :
y = 2, z = 18
z = ky
k = z/y
k = 18/2
k = 9
Problem 4 :
p = 12.8, s = 3.2
Solution :
p = 12.8, s = 3.2
s = kp
k = s/p
k = 3.2/12.8
k = 0.1/0.4
k = 0.25
Problem 5 :
t = 12, n = 8
Solution :
t = 12, n = 8
n = kt
k = n/t
k = 8/12
k = 2/3
Problem 6 :
I = 51, t = 6
Solution :
I = 51, t = 6
t = kl
k = t/I
k = 6/51
Problem 7 :
s = 88, t = 110
Solution :
s = 88, t = 110
t = ks
k = t/s
k = 110/88
k = 5/4
Problem 8 :
A = 212, P = 200
Solution :
A = 212, P = 200
P = kA
k = P/A
k = 200/212
k = 50/53
Problem 9 :
r = 87, s = 58
Solution :r = 87, s = 58
s = kr
k = s/r
k = 58/87
May 21, 24 08:51 PM
May 21, 24 08:51 AM
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