Question

The square of p varies inversely as q. When Q=6 p=4

Answer 1

Answer:

A

Step-by-step explanation:

Given p² varies inversely as q then the equation relating them is

p² = $\frac{k}{q}$ ← k is the constant of variation

To find use the condition when q = 6, p = 4 , then

4² = $\frac{k}{6}$

16 = $\frac{k}{6}$ ( multiply both sides by 6 )

96 = k

p² = $\frac{96}{q}$ ← equation of variation

When p = 12 , then

12² = $\frac{96}{q}$ ( multiply both sides by q )

144q = 96 ( divide both sides by 144 )

q = $\frac{96}{144}$ = $\frac{2}{3}$ → A