Question

For each function, y varies directly with x. Find each constant of variation. Then find the value of y when x=-0.3

1. y=2/3 when x=0.2
2. y=4 when x=3

Answer 1

1- The constant of variation is
`(10)/(3)`

2- The constant of variation is
`(4)/(3)`

Step-by-step 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-
`y = (2)/(3)\ when\ x=0.2`

Therefore:

`y = kx\\\\(2)/(3) = 0.2k\\\\ k = (10)/(3)`

2-
`y = 4\ when\ x=3`

Therefore:

`y = kx\\ 4 = 3k\\ k = (4)/(3)`

Hope this helps :)