Question

P varies inversely with x. If P = 12 when x = 4, find the value of P when x = −48.

Answer 1

Answer:

P = - 1

Step-by-step explanation:

Given P varies inversely with x the the equation relating them is

P = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition P = 12 when x = 4

12 = $\frac{k}{4}$ ( multiply both sides by 4 )

48 = k

P = $\frac{48}{x}$ ← equation of variation

When x = - 48, then

P = $\frac{48}{-48}$ = - 1