Question

A direct variation includes the points (3, 12) and (n,8). find n

Answer 1

if this is a variation question, then:

`\begin{gathered} y\propto x \\ \text{This can be written as:} \\ y\text{ = kx, where k is a constant} \\ \text{one of the coordinates is (3, 12) which implies:} \\ \text{when x = 3, y = 12} \\ \text{Now we can calculate the value of k} \\ 12\text{ = 3}* k \\ \text{divide both sides by 3} \\ k=(12)/(3)=4 \\ \\ \text{Now we can calculate the value of n} \\ n\text{ is our x-value while 8 is the y-value} \\ 8=4* n \\ Divide\text{ both sides by 4} \\ n=(8)/(4) \\ n=2 \end{gathered}`

Therefore, n = 2