1.Suppose that a and b vary inversely and that b=5/3 when a=9. Write a function that models the inverse variation and find b when a=10. 2.What is a polynomial function in standard form with zeroes 1, 2, -2, and -3?

a1) The model is a = 15/b

a2) When a = 10, b = 1.5

b) The polynomial function in standard form is

Step-by-step explanation:

a1) Since a and b varies inversely and a = 9, b = 5/3. First find the constant of proportionality.

The function that models the inverse variation is :

a = 15/b............(1)

a2) When a = 10, find b.

Substituting the value of a into equation (1)

10 = 15/b

b = 15/10

b = 1.5

b) Find the polynomial function with zeroes 1, 2, -2,3

The factors of the polynomials are x -1, x - 2, x + 2, x - 3.

The polynomial becomes: