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11 February, 14:03

The owners of an apartment building bought it new and then 2 years later sold it for $120000. They calculated that the building appreciated $10000 per year while they owned it.

Find a linear function that describes the value of the building over time, if

is the age of the apartment building.

V (x) =

+5
Answers (1)
  1. 11 February, 14:50
    0
    The correct answer is V (x) = 100,000 + 10,000x

    Step-by-step explanation:

    1. Let's review the information provided to us to answer the question correctly:

    Price of the apartment after 2 years = US$ 120,000

    Calculated appreciation of the apartment annually = US$ 10,000

    2. Find a linear function that describes the value of the building over time, if x is the age of the apartment building.

    V (x) = Original price of the apartment + Annual appreciation * Age of the apartment in years

    Original price of the apartment = 120,000 - 2 * 10,000

    Original price of the apartment = 120,000 - 20,000

    Original price of the apartment = 100,000

    Now, replacing with the values we know to build the linear function, we have:

    V (x) = 100,000 + 10,000x
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