Answer:
P = - 1
Step-by-step explanation:
Given P varies inversely with x the the equation relating them is
P = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition P = 12 when x = 4
12 = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
48 = k
P = [tex]\frac{48}{x}[/tex] ← equation of variation
When x = - 48, then
P = [tex]\frac{48}{-48}[/tex] = - 1
