Question

Last question for tonight! Can anybody help me out with it? I don't need a huge explanation just the answer and a brief explanation on how you got it :)

Answer 1

We have a direct variation between x and y.

We can write this as:

`y=k\cdot x`

where k is a constant.

Knowing one point of the relation, like (-2,-8) we can calculate k as:

`k=(y)/(x)=(-8)/(-2)=4`

Then, if we have the point (x,36), we have to calculate the value of x.

As we know that y = 36 and k = 4, we can find x as:

`\begin{gathered} y=k\cdot x \\ x=(y)/(k)=(36)/(4)=9 \end{gathered}`

Answer: the missing value is x = 9