Question

How do you find the variation constant and an equation of variation where y varies directly as x and y=4.5 when x=3?

Answer 1

constant of variation: `1.5`
equation: `y =1.5x`

Explanation:

If `y` varies directly as `x` then
`color(white)("XXX")color(red)(y)=c*color(blue)(x)` for some constant of variation `c`

We are told that
`color(white)("XXX")color(red)(4.5) = c*color(blue)(3)`

`rArrcolor(white)("XXX")c= 4.5/3 = 1.5`