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.