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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Asked Dec 26, 2019
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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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Expert Answer

Step 1

(a) Let the amount of tax for a home with taxable value of x thousand dollars be T(x). Observe that a city within a country imposes a flat fee of $108 per home and tax is $24 per $1000.

The function representing the total amount of property tax is as follows.

Algebra homework question answer, step 1, image 1
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Step 2

(b) Obtain an equation for inverse ...

Algebra homework question answer, step 2, image 1
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