If x varies directly as y and x-0.75 when y-5, find x when y=21.
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Qᴜᴇsᴛɪᴏɴ :-
if x varies directly as y and x = 0.75 when y = 5. find x when y = 21 ?
Sᴏʟᴜᴛɪᴏɴ :-
Varies Directly :- Also Known as Directly proportional , that Means, as one amount increases, another amount also increases at the same rate.
→ x ∝ y
→ x = ky ( where k is any constant Number ).
So,
→ 0.75 = k * 5
→ k = 0.75/5
→ k = 0.15 .
Therefore , when y = 21 .
→ x = k * y
→ x = (0.15) * 21
→ x = 3.15 (Ans.)
Hence, value of x will be 3.15 when y is 21.
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