Suppose that an and b vary inversely and that b= 5/4 when a = 8. Write a function that models the inverse variation

Answer 1

The general formula for inverse variation is:

y = k/x

Where k is a constant, and y and x are the two variables that vary inversely. In this case, we have:

b = k/a

We can find the value of k by using the given information:

b = 5/4 when a = 8

5/4 = k/8

k = 10

Therefore, the function that models the inverse variation is:

b = 10/a