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 ofthe 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 theside length, x, of the box needed to reach that volume212 = 450Determine which statement is true about the solutions to the equationA.The solutions are -15 and 15, but only 15 is a reasonable side lengthB.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
Accepted Solution
A:
Answer:Option A.
The solutions are -15 and 15, but only 15 is a reasonable side lengthStep-by-step explanation:Letx ----> the length side of the square base in incheswe have[tex]2x^{2}=450[/tex]Solve for xDivide 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]thereforeThe solutions are -15 and 15, but only 15 is a reasonable side lengthBecause the side length cannot be a negative number