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

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