Garrett works for a company that builds parking lots the graph shows the area of a parking lot based on the length of one side.
which equation best models the graph

A. A= -0.5x^2 -69.9x + 3,263
B. A= x^2 -69.9x + 3,263
C. A= x^2 -78x + 2,258
D. A= 0.5x^2 -69.9x + 3,263

Option D.

Step-by-step explanation:

this is a quadratic equation of the form:

y = ax^2 + bx + c

First, things you must see.

The graph opens up, so we must have thata a is greater than zero, so we can discard the first option.

Second, we can see that the vertex is located in x ≈ 70

The vertex of a quadratic equation is: x = -b/2a

so we have:

70 = -b/2a

let's try our options and see if we can discard other:

B:

-b/2a = 69.9/2 = 34.95

we can discard this option.

C:

-b/2a = 78/2 = 39 we can discard this option.

D:

-b/2a = 69.9/2*0.5 = 69.9

This is the only one that fits, so this is the correct option.