Answer:
y = - 4.4
Step-by-step 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 = [tex]\frac{-6.6}{9.9}[/tex] = - [tex]\frac{2}{3}[/tex]
y = - [tex]\frac{2}{3}[/tex] k ← equation of variation
When x = 6.6, then
y = - [tex]\frac{2}{3}[/tex] × 6.6 = - 2 × 2.2 = - 4.4
