Will give brainliest~!

James wants to build a rectangular field with an area of 135 square meters, and he wants the length of the field to be 6 meters more than its width. James created a quadratic equation to model the situation and graphed the equation to determine the width of the field.

Use the equation and the graph to select the true statement about the solution (s) for the equation.

A.

The equation has only one solution, and it is a reasonable width.

B.

The equation has two solutions, and both are reasonable widths.

C.

The equation has two solutions, but one must be discarded because it is not a reasonable width.

D.

The equation has only one solution, but it must be discarded because it is not a reasonable width.

Question

Mathematics

Kaiya Cook

24 August, 03:22

Will give brainliest~!

James wants to build a rectangular field with an area of 135 square meters, and he wants the length of the field to be 6 meters more than its width. James created a quadratic equation to model the situation and graphed the equation to determine the width of the field.

Use the equation and the graph to select the true statement about the solution (s) for the equation.

A.

The equation has only one solution, and it is a reasonable width.

B.

The equation has two solutions, and both are reasonable widths.

C.

The equation has two solutions, but one must be discarded because it is not a reasonable width.

D.

The equation has only one solution, but it must be discarded because it is not a reasonable width.

+1

Answers (1)

Know the Answer?

Mia Reeves · Answer 1

Let L and W be the length and width

LW = 135

L = W + 6

(W+6) W = 135

W² + 6W - 135 = 0

There's our quadratic equation. I don't see the graph, but it factors as

(W - 9) (W + 15) = 0

so the graph is of a CUP (concave up) parabola that goes below the x axis (ok, the W axis here), intersecting at W=-15 and W=9.

We have a negative and a positive solution. A negative width isn't reasonable, so the answer is

Answer: C