Answer:
C
Step-by-step explanation:
Given that Q varies inversely as the square of p then the equation relating them is
Q = [tex]\frac{k}{p^2}[/tex] ← k is the constant of variation
To find k use the condition Q = 36 when p = 7
k = Qp² = 36 × 7² = 36 × 49 = 1764
Q = [tex]\frac{1764}{p^2}[/tex] ← equation of variation
When p = 6, then
Q = [tex]\frac{1764}{6^2}[/tex] = [tex]\frac{1764}{36}[/tex] = 49 → C
