Question

X varies inversely as v, and x = 45 when v = 5. Find x when v = 25.

A) 25
B) 5
C) 9
D) 45

Answer 1

To find x when v = 25, we need to use the inverse variation equation x = k/v. By solving for the constant k using the given data point (x = 45, v = 5), and then plugging in k = 225 and v = 25, we find that x = 9.

Step-by-step explanation:

To find the value of x when v = 25, we can use the inverse variation equation x = k/v, where k is a constant. First, let's find the value of k using the given data point (x = 45, v = 5).

Plug in x = 45 and v = 5 into the equation: 45 = k/5.

Multiply both sides of the equation by 5 to isolate k: 45 * 5 = k.

k = 225.

Now we can find x when v = 25 by plugging in k = 225 and v = 25: x = 225/25 = 9.

Therefore, when v = 25, x = 9. So the answer is C) 9.