Question

How do you find the variation constant and an equation of variation where y varies directly as x and y = 2.52 when x = 8.4?

Answer 1

constant of variation: `0.3`
equation: `y = 0.3x`

Explanation:

If `y` varies directly as `x`
`color(white)("XXX")y = c*x` for some constant (the variation constant), `c`

We are told
`color(white)("XXX")2.52 = c*8.4`

`color(white)("XXX")rarr c= 2.52/8.4 = 0.3`

and therefore the variation equation is
`color(white)("XXX")y= 0.3x`