Answer:
p = 16
Step-by-step explanation:
Given p is directly proportional to (q + 2)² then the equation relating them is
p = k(q + 2)² ← k is the constant of proportion
To find k use the condition when q = 1, p = 1
1 = k(1 + 2)² = k × 3² = 9k ( divide both sides by 9 )
[tex]\frac{1}{9}[/tex] = k
p = [tex]\frac{1}{9}[/tex] (q + 2)² ← equation of proportion
When q = 10 , then
p = [tex]\frac{1}{9}[/tex] × (10 + 2)² = [tex]\frac{1}{9}[/tex] × 12² = [tex]\frac{1}{9}[/tex] × 144 = 16
