For the inverse variation equation p = 8/v what is the value of p when v = 1/4.

Solution:

Given, p = 8/v

We have to find the inverse variation for the equation when v = 1/4.

We know the inverse operation of division is multiplication.

So, to verify the division problem, we have to multiply the result of the division problem with the divisor to obtain the dividend.

So, the equation can be written as pv = 8

Here, divisor v = 1/4

Result = p

Dividend = 8

Now, p(1/4) = 8

p = 8(4)

p = 32.

Therefore, the value of p is 32.

For the inverse variation equation p = 8/v what is the value of p when v = 1/4.

Summary:

For the inverse variation equation p = 8/v, the value of p when v = 1/4 is 32.