s is directly proportional to √t and s = 30 when t = 36. Find the constant of variation and equation of variation
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Given : s is directly proportional to √t and s = 30 when t = 36.
To Find : the constant of variation and equation of variation
Solution:
s is directly proportional to √t
=> s ∝ √t
=> s = k √t
Where k is the constant of variation:
s = 30 when t = 36.
=> 30 = k √36
=> 30 = k (6)
=> k = 5
constant of variation: is 5
=> s = 5√t
equation of variation s = 5√t
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