# If r varies inversely with w -1. If r = 3/50 when w = 3, how do you find r when w is 10?

To find r when w is 10, we can use the inverse variation equation. First, we need to find the constant of variation, which is denoted as k. In this case, we have r varies inversely with w - 1, so we can write the equation as r = k/(w - 1).

To find k, we can substitute the given values of r and w into the equation. When r = 3/50 and w = 3, we have 3/50 = k/(3 - 1).

Simplifying this equation, we get 3/50 = k/2.

To solve for k, we can cross-multiply: 3 * 2 = 50 * k.

Simplifying further, we have 6 = 50k.

Dividing both sides by 50, we find k = 6/50 = 3/25.

Now that we have the value of k, we can substitute it back into the inverse variation equation and solve for r when w is 10.

Using r = k/(w - 1), we have r = (3/25)/(10 - 1).

Simplifying this equation, we get r = (3/25)/9 = 3/225 = 1/75.

Therefore, when w is 10, r is equal to 1/75.

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

Multiply both sides by 2

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