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In a volatile housing market, the overall value of a home can be modeled by V(x) = 210x2 – 4400x + 125000, where V represents the value of the home and x represents each year after 2020. Find the vertex and interpret what the vertex of this function means in terms of the value of the home. 

 Jun 27, 2022
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V(x) =  210x^2 - 4400x + 125000

 

x coordinate of the  vertex =       -(-4400)  / 210  ≈  20.95 ≈ 21

 

y coordinate of the  vertex =   210 * 21^2  -4400 (21) + 125000  = 125210

 

This means the home  is  valued at   $125210     about  21 years after 2020  =  2041

 

cool cool cool

 Jun 27, 2022

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