Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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 choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.