Solve the Problem $T ( x )$ For a Home with a Taxable Value Thousand Dollars

question 191

Multiple Choice

Solve the problem.
-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 thousand dollars.
b. Write an equation for $T ^ { - 1 } ( x )$ .
c. What does the inverse function represent in the context of this problem?

• A) a. \(T ( x ) = 29 x + 101\)
• b. \(T ^ { - 1 } ( x ) = \frac { x - 101 } { 29 }\)
• c. \(T ^ { - 1 } ( x )\) represents the amount of property tax paid based on \(x\) thousand dollars of taxable value of the home.
• B) a. \(T ( x ) = 101 x + 29\)
• b. \(T ^ { - 1 } ( x ) = \frac { x - 29 } { 101 }\)
• c. \(T ^ { - 1 } ( x )\) represents the amount of property tax paid based on \(x\) thousand dollars of taxable value of the home.
• C) a. \(T ( x ) = 101 x + 29\)
• b. \(T ^ { - 1 } ( x ) = \frac { x - 29 } { 101 }\)
• c. \(T ^ { - 1 } ( x )\) represents the taxable value of a home (in \(\$ 1000\) ) based on \(x\) dollars of property tax paid on the home.
• D) a. \(T ( x ) = 29 x + 101\)
• b. \(T ^ { - 1 } ( x ) = \frac { x - 101 } { 29 }\)
• c. \(T ^ { - 1 } ( x )\) represents the taxable value of a home (in \(\$ 1000\) ) based on \(x\) dollars of property tax paid on the home. x

---

Definitions:

Difference

A point or way in which people or things are not the same; the state or condition of being unlike.

Social Justice

The concept of fair and just relations between the individual and society, measured by the distribution of wealth, opportunities for personal activity, and social privileges.

Affirmative Action

Policy measures designed to increase the representation of minorities and women in fields from which they have historically been excluded, through proactive recruitment and opportunities.

Preferential Treatment

The act of giving favorable treatment or advantages to a person or group over others, often based on personal biases or for strategic reasons.