Q:

For each function, y varies directly with x. Find each constant of variation. Then find the value of y when x=-0.31. y=2/3 when x=0.22. y=4 when x=3

Accepted Solution

A:
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 versaA direct variation relation is represented as follows:y = kxwhere k is the constant of variationNow, to get the constant of variation, all we have to do is substitute with the given x and y variables and solve for kFor 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 :)