Question

1. Find the variation constant and an equation of variation where y varies directly as x and y=9 when x=1.

Answer 1

`y = x \\ the \: constant \: k \: will \: be \: y = kx \\ therefore \: if \: y = 9 \: and \: x = 1 \\ the \: equation \: will \: be \: 9 = k(1) \\ this \: gives \: k = 9 \\ therefore \: to \: represent \: in \: equation \: it \: will \: be \\ y = 9x`

Answer 2

k = 9

y = 9x

Explanation:

Variation Constant Formula :

• k = y/x
• k = 9/1
• k = 9

Equation :

• y = kx
• y = 9x