Respuesta :

Answer:

P = [tex]\frac{40}{V}[/tex]

Step-by-step explanation:

given P is inversely proportional to V then the equation relating them is

P = [tex]\frac{k}{V}[/tex]

to find k use the condition when V = 8 , P = 5 , then

5 = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 to clear the fraction )

40 = k

P = [tex]\frac{40}{V}[/tex] ← equation of proportion

Answer:

P = 40/V.

Step-by-step explanation:

P = k/V where k is a constant

Substituting the given values:

5 = k/8

k = 5*8 = 40.

So the formula is:

P = 40/V