Answer:
11 Pounds
Step-by-step explanation:
Let the total pounds of popcorn made by Movietown Theater=x
On Thursday, they made
of their popcorn with butter.
The remaining fraction of the butter will be: 
The remaining 35.2 Ounces was made without butter.
Let us convert from ounces to pounds.
- 1 Ounce =0.0625 Pound
- 35.2 Ounce=35.2 X 0.0625 =2.2 Pounds
Therefore:

Therefore, the total pounds of popcorn made by Movietown Theater on Thursday is 11 Pounds.
Take derivitive
remember chain rule
dy/dx=1/(x² ? 7x+1) times (2x ? 7)
dy/dx=(2x ? 7)/(x² ? 7x+1)
inputting x=7
the slope at x=7 is (14 ? 7)/(49 ? 49+1)=(14 ? 7)/(49 ? 50)
the slope is (14 ? 7)/(49 ? 50)
use point slope form
y-0=(14 ? 7)/(49 ? 50)(x-7)
y=(14 ? 7)/(49 ? 50)(x-7)
I'm going to take a wild guess that the ? means minus because you were able to type a plus sign
in that case, it would be
y=-2(x-7)
X^2+4x-12=0
(x+6)(x-2)=0
X can equal -6 and 2.
x=-6
x=2
Good job !! There all correct !