If p a- when p=15 then q=4 then find
a) constant of variation
b) If p-12, find q
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Given :- If p ∝ 1/q , when p = 15 then q = 4, then find :-
a) constant of variation
b) If p = 12, find q ? .
Solution :-
→ p ∝ 1/q
→ p = k * (1/q) , where k is constant of variation .
given that, when p = 15, q is 4.
So,
→ p = k * (1/q)
→ 15 = k * (1/4)
→ k = 15 * 4
→ k = 60 . (a) (Ans.)
now, given p = 12, then,
→ p = k * (1/q)
→ 12 = 60 * (1/q)
→ q = (60/12)
→ q = 5 . (b) (Ans.)
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