Question

Use the given information to find the unknown value Y varies directly as x when x =2 y=14 find y when x =22

Answer 1

Solution

Explanation:

The initial statement is

$\begin{gathered} y\infty x \\ y=kx \end{gathered}$

when x = 2, y = 14

$\begin{gathered} y=kx \\ 14=k(2) \\ k=\frac{14}{2} \\ k=7 \end{gathered}$

the law connecting y and x

$y=7x$$\begin{gathered} y=7x \\ \text{when x= 22} \\ y=7(22) \\ y=154 \end{gathered}$

Hence the value of the unknown x = 154