Question

If f(x) varies directly with x, and f(x) = 12 when x = 8, how do you write the direct linear variation equation?

Answer 1

The direct variation equation is `f(x)= 1.5x`

Explanation:

`f(x) prop x or f(x) = k*x ; k` is variation constant.

When `x=8 ; f(x)=12 :. 12 = k* 8 or k = 12/8 =1.5`

`:.f(x)= 1.5x`

The direct variation equation is `f(x)= 1.5*x` [Ans]