Question

Given x for the inverse variation equation p = 8/v, what is the value of v when p = 4?

1) one-eighth
2) one-half
3) 2
4) cannot be determined

Answer 1

The value of v when p is 4, given the inverse variation equation p = 8/v, is found to be 2 by substituting p with 4 and solving for v.

Step-by-step explanation:

The student is asking for the value of v when p is 4, given the inverse variation equation p = 8/v. To solve for v, we can use a direct substitution method where we replace p with 4 and solve for v:

4 = 8/v

By multiplying both sides of the equation by v, we get:

4v = 8

And then by dividing both sides by 4, we find the value of v:

v = 8/4

v = 2

Therefore, the value of v when p is 4 is 2.