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Given that, The values of y varies directly with x.
It means
\begin{gathered}\sf \: y \: \alpha \: x \\ \\ \end{gathered}yαx
\begin{gathered}\sf\implies \sf \: y = kx - - - (1) \\ \\ \end{gathered}⟹y=kx−−−(1)
where k is constant of variation.
Now, it is given that, when x = \dfrac{1}{3}31 , y = 5.
So, on substituting these values in the above equation, we get
\begin{gathered}\sf \: 5 = \dfrac{1}{3} \times k \\ \\ \end{gathered}5=31×k
\begin{gathered}\sf\implies \sf \: k = 15 \\ \\ \end{gathered}⟹k=15
So, it means equation (1) can be rewritten as
\begin{gathered}\sf\implies \boxed{ \sf{ \:y = 15x \: }} \\ \\ \end{gathered}⟹y=15x
On substituting x = - 2, we get
\begin{gathered}\sf \: y = 15 \times ( - 2) \\ \\ \end{gathered}y=15×(−2)
\begin{gathered}\sf\implies \sf \: y = - 30 \\ \\ \end{gathered}⟹y=−30
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Answer:
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Document</title>
</head>
<body>
<ul>
<li>Office</li>
<li>Word</li>
<li>excel</li>
<li>Powerpoint</li>
</ul>
</body>
</html>
Answer:
Given that, The values of y varies directly with x.
It means
\begin{gathered}\sf \: y \: \alpha \: x \\ \\ \end{gathered}yαx
\begin{gathered}\sf\implies \sf \: y = kx - - - (1) \\ \\ \end{gathered}⟹y=kx−−−(1)
where k is constant of variation.
Now, it is given that, when x = \dfrac{1}{3}31 , y = 5.
So, on substituting these values in the above equation, we get
\begin{gathered}\sf \: 5 = \dfrac{1}{3} \times k \\ \\ \end{gathered}5=31×k
\begin{gathered}\sf\implies \sf \: k = 15 \\ \\ \end{gathered}⟹k=15
So, it means equation (1) can be rewritten as
\begin{gathered}\sf\implies \boxed{ \sf{ \:y = 15x \: }} \\ \\ \end{gathered}⟹y=15x
On substituting x = - 2, we get
\begin{gathered}\sf \: y = 15 \times ( - 2) \\ \\ \end{gathered}y=15×(−2)
\begin{gathered}\sf\implies \sf \: y = - 30 \\ \\ \end{gathered}⟹y=−30