Answer:
1- The constant of variation is [tex]\frac{10}{3}[/tex]
2- The constant of variation is [tex]\frac{4}{3}[/tex]
Explanation:
When two variables are in direct variation, this means that when one of them increases, the other increases and vice versa
A direct variation relation is represented as follows:
y = kx
where k is the constant of variation
Now, to get the constant of variation, all we have to do is substitute with the given x and y variables and solve for k
For the given problems:
1- [tex]y = \frac{2}{3}\ when\ x=0.2[/tex]
Therefore:
[tex]y = kx\\\\\frac{2}{3} = 0.2k\\\\ k = \frac{10}{3}[/tex]
2- [tex]y = 4\ when\ x=3[/tex]
Therefore:
[tex]y = kx\\ 4 = 3k\\ k = \frac{4}{3}[/tex]
Hope this helps :)
