Question

Suppose that y varies directly with x, and y = 2 when x = 16.(a) Write a direct variation equation that relates x and y.Equation: (b) Find y when x = 7.y =

Answer 1

(a) y = x/8

(b) y = 7/8

Explanation:

Since y varies directly with x, the form of the equation would be:

`y=kx`

a.

we can calculate the value of k, just like this:

`\begin{gathered} 2=k\cdot16 \\ k=(2)/(16) \\ k=(1)/(8) \end{gathered}`

Therefore, the equation would be:

`y=(1)/(8)x`

b.

Now we calculate when x = 7, like this:

`\begin{gathered} y=(1)/(8)\cdot7 \\ y=(7)/(8) \end{gathered}`