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

`(2)/(3) =k`

Now we plug in 2/3 for k

`y=(2)/(3)x`

Given x=-0.5 and find out y

`y=(2)/(3)(-0.5)`

y=-0.33

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