Question

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

Answer 1

Answer:

1- The constant of variation is $\frac{10}{3}$

2- The constant of variation is $\frac{4}{3}$

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- $y = \frac{2}{3}\ when\ x=0.2$

Therefore:

$y = kx\\\\\frac{2}{3} = 0.2k\\\\ k = \frac{10}{3}$

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

Therefore:

$y = kx\\ 4 = 3k\\ k = \frac{4}{3}$

Hope this helps :)