Question

The values of x and y vary directly and one pair of values are given write an equation that relates xand y simplify completely

Answer 1

The values of x and y vary directly. Hence, we can write

$y=kx$

Here, k is the constant of proportionality.

Substitute x=0.1 and y=0.9 in the above equation and solve for k.

$\begin{gathered} 0.9=k\times0.1 \\ k=\frac{0.9}{0.1} \\ k=9 \end{gathered}$

Put the value of k in y=kx.

Therefore, y=9x.