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?

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  a.  T(x) = 29x +101

  b.  T^-1(x) = (x -101)/29

  c.  the value of the home in thousands as a function of the tax on it

Step-by-step explanation:

a. The tax is $101 plus $29 per thousand of value. x is the value in thousands, so the tax is ...

  T(x) = 29x +101

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b. The inverse function can be found by solving ...

  x = T(y)

  x = 29y +101

  x -101 = 29y

  y = (x -101)/29

  T^-1(x) = (x -101)/29

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c. The function tells you the tax on a home worth x thousands.

The inverse function tells you the worth of the home in thousands when the tax on it is x.

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.