Answer:
r = 4
Step-by-step explanation:
Given that r varies inversely with x then the equation relating them is
r = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition r = - 2 when x = 6
k = rx = - 2 × 6 = - 12
r = [tex]\frac{-12}{x}[/tex] ← equation of variation
When x = - 3, then
r = [tex]\frac{-12}{-3}[/tex] = 4
