Question

Find the constant of proportionality and the equation of variation :
c infinite d and c = 1.75, d = 7.875.

Answer 1

Given : c  ∝ d  

c = 1.75, d = 7.875.

To Find : constant of proportionality

Solution:

c  ∝ d  

=> c = kd

k is constant of proportionality

c = kd  is  equation of variation

c = 1.75

d = 7.875

=> 1.75 = k (7.875)

=> k = 2/9

constant of proportionality  = 2/9

c = kd

Equation of Variation is

=> c = (2/9)d

or

=> 9c = 2d

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