Question

Assume that y varies directly with x, then solve.
if y=-6.6 when x=9.9, find y when x=6.6​

Answer 1

y = - 4.4

Explanation:

Given that t varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = - 6.6 when x = 9.9 , that is

- 6.6 = 9.9k ( divide both sides by 9.9 )

k =
`(-6.6)/(9.9)` = -
`(2)/(3)`

y = -
`(2)/(3)` k ← equation of variation

When x = 6.6, then

y = -
`(2)/(3)` × 6.6 = - 2 × 2.2 = - 4.4