Question

determine the appropriate functions
A city does not tax the first $30,000 of a resident's income but taxes any amount over $30,000 at 5%. (a) Find the tax T as a function of a resident's income I and (b) find f(25,000) and f(45,000).

Answer 1

@agent0smith how do i do this?

Answer 2

It's a piecewise function.

A city does not tax the first $30,000 of a resident's income :
T = 0 if I ≤ 30,000

taxes any amount over $30,000 at 5%
T = 0.05(I - 30,000) if I > 30,000

now put them together as one function, T as a function of I


T(I) = { 0 if I ≤ 30,000
{ 0.05(I - 30,000) if I > 30,000

Answer 3

oh...

Answer 4

okay i will try and keep that in mind thanks