Answer:
B
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition that y = 8 when x = - 6, thus
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{8}{-6}[/tex] = - [tex]\frac{4}{3}[/tex] ≈ - 1.33
y = - [tex]\frac{4}{3}[/tex] x ← equation of variation
When x = - 2, then
y = - [tex]\frac{4}{3}[/tex] × - 2 = [tex]\frac{8}{3}[/tex] ≈ 2.67
