Question

Solve the equation below and find the variation constant, Find y when x=18, if y varies directly as x, and y=50 when x=13.

Answer 1

• k=50/13

,

• y=69.231 (to the nearest 1000th)

Step-by-step explanation:

If y varies directly as x, the equation of variation is:

`y=kx,\text{ k=variation constant}`

When x=13 and y=50

`\begin{gathered} 50=13k \\ k=(50)/(13) \end{gathered}`

Substituting k into the equation above, we have:

`y=(50)/(13)x`

Therefore, when x=18

`\begin{gathered} y=(50)/(13)*18 \\ y\approx69.231 \end{gathered}`