Question

For each direct variation find the constant of variation then find the value of Y when X equals -0.5. Y equals 2 when X equals 3

Answer 1

For direct variation y varies directly with x, then we use equation y = kx

Where k is the constant of proportionality

Given: Y equals 2 when X equals 3

We plug in 3 for x  and 2 for y and solve for k

y = kx

2 = k(3)

Divide both sides by 3

$\frac{2}{3} =k$

Now we plug in 2/3 for k  

$y=\frac{2}{3}x$

Given x=-0.5  and find out y

$y=\frac{2}{3}(-0.5)$

y=-0.33

the value of y is -0.33 when x=-0.5