Well, it was good that you did subtract A from B to get
0=x^2-152x
then factor out the x (what do you mean it cannot be factored?)
0=x(x-152)
x=0 or 0=x-152 so x=152
so on day 0 and day 152
Remark
Watch out for the -4<=x<=6 thing. It causes lot's of problems if you are not careful.
Solution.
The second best answer is A and if that restriction, -4<=x<=6, wasn't there, the answer would be A.
When y = - 4, the x value falls outside the restricted domain ( -4<=x<=6) we have been given. so B is not the answer.
When x = - 4 you have to read straight down to see what the y value is. It is - 2. So this is your answer. Only exactly what is the answer. They ask for the minimum value and that is a y value in this case.
So the answer is C <<<<< Answer.
When y = 1 , x = - 2 1/2. That is within the domain, but it is not the minimum value so D is wrong.
can you provide pictures of the plot?
D. 2,400 sq. ft. is the closest
1) Convert mixed numbers to improper fractions...
6 1/12 = 73/121 and 11 5/6 = 71/6
2) To get area of one tile, multiply length x width...73/121 times 71/6 = 5,183/72 = 72 sq. in. or 6 sq. ft.
3) 6 sq. ft. times 408 tiles = 2,448 sq. ft.