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 24 mil ($24 in tax per $1000 of taxable value of the home). A city within the county also imposes a flat fee of $108 per home. a. Write a function representing the total amount of property tax T( x ) (in $) 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? d. Evaluate T − 1 ( 2988 ) and interpret its meaning in context.
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 24 mil ($24 in tax per $1000 of taxable value of the home). A city within the county also imposes a flat fee of $108 per home. a. Write a function representing the total amount of property tax T( x ) (in $) 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? d. Evaluate T − 1 ( 2988 ) and interpret its meaning in context.
Solution Summary: The author explains how to write a function representing the total amount of property tax T(x), and the inverse function of T.
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 24 mil ($24 in tax per $1000 of taxable value of the home). A city within the county also imposes a flat fee of $108 per home. a. Write a function representing the total amount of property tax T(x) (in $) 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? d. Evaluate
T
−
1
(
2988
)
and interpret its meaning in context.
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