Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

In a volatile housing market, the overall value of a home can be modeled by v(x) = 325x2 – 4600x + 145000, 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. show the work you completed to determine the vertex

Sagot :

MrRoyal

The vertex of the housing market function is its maximum value

The vertex of the function is (7.1, 128723.25) and it means that the overall value of a home is at the highest in 2027 at a price of #128723.25

How to determine the vertex?

The function is given as:

v(x) = 325x^2 - 4600x + 145000

Differentiate

v'(x) = 2*325x - 4600

Set to 0

2*325x - 4600 = 0

Collect like terms

2*325x = 4600

Solve for x

x = 7.1

Substitute 7.1 in V(x)

v(7.1) = 325*7.1^2 - 4600*7.1 + 145000

v(7.1) = 128723.25

Hence, the vertex of the function is (7.1, 128723.25) and it means that the overall value of a home is at the highest in 2027 at a price of #128723.25

Read more about vertex at:

https://brainly.com/question/15914313

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.