Question

In a volatile housing market, the overall value of a home can be modeled by V(x) - 325x? - 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.

Answer 1

The vertices reveals that the home will be worth $144300 USD altogether in 2020 year from now.

How to find the calculation?

A model is used to estimate a home's overall value.

v(x) = 325x - 4600x + 145000,

A quadratic function of the type ax2+bx+c x2+(b/a)x+(c/a) is being discussed here.

The point where the rate of function change is zero is known as the vertex of a quadratic function.

The vertex's x-coordinate is given by (-b/2a), and the vertex's corresponding y-value is the vertex's y-coordinate.

Consequently, in this case, x-coordinate =  4600/325 = 14.1538

Y-coordinate is equal to  325 * 14² - 4600 * 14 + 145000 or 145325

The vertices are (144300).

The vertex indicates that the value of the residence in 2020 year from now, will be $144300 dollars.

To Learn more About vertices reveals refer to:

brainly.com/question/29660530

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