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linearset2: problem 4
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120000+500*x 120000 + 500x
the answer above is not correct.
(1 point) the owners of an apartment building bought it new and then 10 years later sold it for $170000. they calculated that the building appreciated $5000 per year while they owned it.
find a linear function that describes the value of the building over time, if x is the age of the apartment building.
v(x) = 120000+500x
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Explanation:

Step1: Find the initial value

Let the initial value of the building be $V_0$. After $x = 10$ years, the value $V(10)=170000$ and the rate of appreciation $m = 5000$. Using the linear - function formula $V(x)=V_0+mx$, we substitute $x = 10$, $V(10)=170000$ and $m = 5000$ into it: $170000=V_0+5000\times10$.

Step2: Solve for the initial value

Solve the equation $170000=V_0 + 50000$ for $V_0$. Subtract 50000 from both sides: $V_0=170000 - 50000=120000$.

Step3: Write the linear function

The linear function that describes the value of the building over time is $V(x)=120000 + 5000x$.

Answer:

$V(x)=120000 + 5000x$