Question

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

A.
On Tuesday, a packaging company packed 4 fewer boxes of cashews than they did on Monday. They packed a total of 60 boxes.
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.
Mr. Bass is 4 years older than his sister. The total of their ages is 60 years.
D.
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.

Answer 1

x^2-4x=60

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.

If each row has the same number of chairs as rows, then there is x^2 chairs.

Because there is 4 fewer chairs in every row, for every row you minus 4 - 4x

There a 60 chairs in total.

x^2 - 4x = 60

Substitute a number into the formula to check:

If there are 10 rows:

x = 10

10^2 - 4(10) = 60

100 - 40 = 60.