The millage rate is the amount of property tax per $1000 of the taxable value of a home. For a certain county the millage rate is 29 mil. A city within the county also imposes a flat fee of $101 per home. a. Write a function representing the total amount of property tax T(x) for a home with a taxable value of x thousand dollars. b. Write an equation for T-1(x). c. What does the inverse function represent in the context of this problem

(a)

(b)

(c) See explanation

Step-by-step explanation:

Given

Solving (a): The function for total amount

This is calculated as:

Where:

taxable value

So, we have:

Solving (b): The inverse function

Rewrite as:

Swap the variables

Make y the subject

Divide by 0.029

Multiply  by 1000/1000

Replace y with the inverse function

Solving (c): Interpret (b)

The inverse function, in this case; is the taxable value calculated from the amount of property tax

the answer is 62