Question

Function D models the depth of a submarine where D(x) is the depth in meters. When the submarine is x miles from its launching location. Which table also models the depth of the submarine

Answer 1

The correct option D; models the depth of the submarine.

Define the term parabola?

• Parabola, also known as an open curve or conic section, is formed when a right circular cone and a plane perpendicular to one of the cone's elements cross.

When a submarine is x miles out of its launch place, we need to figure out which table best represents the depth of the submarine using the function d, wherein d(x) is the depth, in meters.

Both x = 5 as well as x = 40 have zeros.

Since it's a parabola,

D(x) = a(x-5)(x-40)

vertex = (22.5, -146)

Thus,

-146 = a(22.5-5)(22.5-40)

a = -146/(22.5-5)(22.5-40)

a = 0.4767

Put value of a in equation.

D(x) = a(x-5)(x-40)

D(x) = 0.4767(x-5)(x-40)

The equation above is quadratic function model.

We can see from the graph that:

(5) and (0), respectively, are points on the graph (40,0).

Consequently, if x = 5 when y = 0, then.

y(min) > -160.

Additionally, the table in option (D) represents the submarine's depth.

To know more about the parabola, here

brainly.com/question/2841375

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The graph of the question with the options are attached.