Question

Y varies inversely with x. y=4 when x=-3. What is the constant of variation?

Answer 1

Step-by-step explanation

We are to find the constant of variation

To get the constant of variation, we will first have to get the formula that connects x and y

So, we have that

Y varies inversely with x.

Thus

`y\propto(1)/(x)`

By introducing the constant of variation and the inequality sign, we will have

`\begin{gathered} y=k*(1)/(x) \\ The\text{ formula connecting them is} \\ y=(k)/(x) \end{gathered}`

Next, we are told that

y=4 when x=-3

so

`4=(k)/(-3)`

Cross multiplying

`k=4*-3=-12`

Therefore, the value of k is -12

The constant of variation is -12