Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.