Question

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. Explain your answer.

Answer 1

1. If a and b vary inversely and b = 8 when a = 6:
b = k/ a
8 = k / 6
k = 6 * 8
k = 48
Function is:
b = 48 / a
2. When a = 30:
b = 48 / 30 = 8/5
b = 1.6