A pizza parlor uses square prisms for their pizza boxes. Due to the crust rising, the height of their boxes is always 2 inches. Additionally, the volume of
the pizza box must be 450 cubic inches to fit their standard-sized pizza A worker determined that the equation below could be used to find the
side length, x, of the box needed to reach that volume
212 = 450
Determine which statement is true about the solutions to the equation
A.
The solutions are -15 and 15, but only 15 is a reasonable side length
B.
The solutions are -15 and 15 and both are reasonable side lengths,
C.
The solutions are -30 and 30 and both are reasonable side lengths.
D.
The solutions are 30 and 30 but only 30 is a reasonable side length

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calculista calculista · Answer 1 · 2019-08-06T02:34:13+02:00

Answer:

Option A. The solutions are -15 and 15, but only 15 is a reasonable side length

Step-by-step explanation:

Let

x ----> the length side of the square base in inches

we have

[tex]2x^{2}=450[/tex]

Solve for x

Divide by 2 both sides

[tex]x^{2}=450/2[/tex]

[tex]x^{2}=225[/tex]

take square root both sides

[tex]x=(+/-)\sqrt{225}[/tex]

[tex]x=(+/-)15\ in[/tex]

therefore

The solutions are -15 and 15, but only 15 is a reasonable side length

Because the side length cannot be a negative number