Algebraic fractions are the same as normal fractions, but they have algebraic expressions as the numerator/denominator.
For example,

is a normal fraction, but

is an algebraic fraction.
A diagram would be nice. The quick answer is C.
The first answer makes AE 8 which is twice as long as AC. I don't think the intent of the question is to use an external point.
The second one is also incorrect. This time E is in a place such that it makes AC and AE both equal and that too isn't possible.
The third one is the answer because D and E are both 1/2 the distance between the end point of the line containing them.
D is wrong because E is the midpoint of AC but D is not the midpoint of AB.
Can we get a picture link with the scatter chart?
The height is 52 feet.
Using t=3, we have:
-3² + 15(3) + 16 = -9 + 45 + 16 = 52
We won't have a function if for same value of x in (x,y) we get different values y.
So first step: figure out k so that the first coordinate (x) is the same:
3k-4=4k | solve for k
k = -4
no check the values y for the elements of the relation
x = 3k-4 = -12-4=-16
so at -16 we get (-16,16) and (-16, 32), which mean for k=-4 the relation is not a function.
Let me know if you have any questions.