Question

PLEASE ANSWER QUICK

The dimensions of various-sized rectangular trays are created using the expression x – 1 for the width and x + 5 for the length. The function A(x) = x2 + 4x – 5 represents the area of the trays. The maximum length of the trays is 12 inches. The mathematical range of the function is y ≥ −9.

How does this differ from the reasonable range?

The reasonable range is 0 < y ≤ 12.
The reasonable range is 0 < y ≤ 72.
The reasonable range is 0 < y ≤ 7.
The reasonable range is 0 < y ≤ 187.

Answer 1

Explanation:

0 < y ≤ 72

Answer 2

0 < y ≤ 72.

Explanation:

We are given the maximum length of the tray is 12 inches. This implies that;

x + 5 ≤ 12

x ≤ 7

Therefore, the maximum value of x is 7 inches. The maximum width will thus be;

x - 1 = 7 - 1 = 6 inches.

The maximum area, y, will thus be;

Area = length * width

Area = 12 * 6 = 72

The reasonable domain will thus be;

0 < y ≤ 72.

The area is simply between 0 and 72. The area of any object can not be negative.