If x is directly proportional to y and x=4.5 when y =3 find an equation connecting x and y
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Answer:
If x is directly proportional to y and x = 4.5 when y = 3 then equation is x = 1.5y
Solution:
Given that,
x is directly proportional to y
Therefore,
\begin{gathered}x \propto y \\\\x = ky ------ eqn\ 1\end{gathered}x∝yx=ky−−−−−−eqn 1
x = 4.5 when y = 3
Substitute in eqn 1
\begin{gathered}4.5 = k \times 3 \\\\k = 1.5\end{gathered}4.5=k×3k=1.5
Substitute k = 1.5 in eqn 1
x = 1.5yx=1.5y
Thus the equation is found
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