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# Suppose a and b vary inversely, and b = 8 when a = 6. Write a function that models the variation and find b when a = 30.

**Solution:**

Given a and b are __inversely proportional__

We have a = k/b, this is the function that models the variation

a/a’ = b’/b

Where a,b are initial values and a’,b’ are changed values

6/30 = b’/8

b’= 1/5 * 8

b’ = 8/5

## Suppose a and b vary inversely, and b = 8 when a = 6. Write a function that models the variation and find b when a = 30.

**Summary:**

Suppose a and b vary inversely, and b = 8 when a = 6 and b is 8/5 when a = 30.

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