# If x varies inversely as y and x = 2.5 when y = 40, how do you find y when x = 2?

To find y when x = 2, we can use the inverse variation formula. Inverse variation states that when two variables are inversely proportional, their product remains constant.

First, we can set up the equation using the given values: x * y = k, where k is the constant of variation.

Plugging in the values x = 2.5 and y = 40, we have: 2.5 * 40 = k.

Simplifying this equation, we find that k = 100.

Now, we can use this value of k to find y when x = 2.

Plugging in x = 2 and k = 100 into the inverse variation equation, we have: 2 * y = 100.

Solving for y, we find that y = 50.

Therefore, when x = 2, y is equal to 50.

By signing up, you agree to our Terms of Service and Privacy Policy

32

Again, x = k y

By signing up, you agree to our Terms of Service and Privacy Policy

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7