Question

p is directly proportional to (q+2)2.
When q = 1, p= 1.
Find p when q = 10.​

Answer 1

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 )

$\frac{1}{9}$ = k

p = $\frac{1}{9}$ (q + 2)² ← equation of proportion

When q = 10 , then

p = $\frac{1}{9}$ × (10 + 2)² = $\frac{1}{9}$ × 12² = $\frac{1}{9}$ × 144 = 16