`y` varies directly with `x`. Find the constant of variation. Then find the value of `y` when `x=0.5`
`y=12` when `x=4`
To find the constant of variation, we can use the formula for direct variation:
y = kx
where y is the dependent variable, x is the independent variable, and k is the constant of variation.
We can plug in the values we know:
12 = k * 4
To solve for k, we divide both sides of the equation by 4:
k = 12/4 = 3
Therefore, the constant of variation is 3.
To find the value of y when x = 0.5, we can use the formula again:
y = kx
y = 3 * 0.5 = 1.5
Therefore, when x = 0.5, y = 1.5.