Question

Given the quadratic equation below, determine which situation it could represent. x^2-4x=60

A.
Mr. Bass is 4 years older than his sister. The total of their ages is 60 years.
B.
A wall in Liza's bedroom has an area of 60 square feet. She covers 4 square feet of the wall with a poster.
C.
In a meeting room for a business event, there are 4 fewer chairs laid out in each row than the number of rows. The total number of chairs in the room is 60.
D.
On Tuesday, a packaging company packed 4 fewer boxes of cashews than they did on Monday. They packed a total of 60 boxes.

Answer 1

C. In a meeting room for a business event, there are 4 fewer chairs laid out in each row than the number of rows. The total number of chairs in the room is 60.

Explanation:

To find the total number of chars, we multiply the number of rows by the number of chairs in each row.

Let the number of rows be x. There are 4 fewer chairs in each row than the number of rows; this gives us (x-4). Together, this gives us

x(x-4).

We know there are 60 chairs; this gives us

x(x-4) = 60

Using the distributive property,

x(x)-4(x) = 60

x²-4x = 60