Answer:
This relation is a function.
Step-by-step explanation:
This relation is a function because a there should be no repeating x-coordinates in the relation for it to be a function and that is exactly what happens in this relation.
25 in exponential form: 
Factors to make 25 in exponential form: 5 * 5 = 5^2, 1 * 25 = 25^1
Answer: first option.
Step-by-step explanation:
The ratio of the area of the triangles can be calculated as following:

Where
is the lenght of the given side of the smaller triangle and
is the lenght of the given side of the larger triangle.
Therefore:

It can be written as following:

The ratio of the perimeter is:

Where
is the lenght of the given side of the smaller triangle and
is the lenght of the given side of the larger triangle.
Therefore:

It can be written as following:

1. Let's call:
x: the width of the walkway.
b: 2x+16 (there is a widht "x" of the walkway on each side).
h: 2x+32 (there is a widht "x" of the walkway on each side).
A: 924 ft^2 ( the area of the pool of including the walkway).
2. The area of a rectangle is:
A=(b)(h)
b: the base of the rectangle (2x+16)
a: the height of the rectangle (2x+32)
3. Then, we have a quadratic equation:
924=(2x+16)(2x+32)
4x^2+64x+32x+512-924=0
4x^2+96x-412=0
4. We apply the quadratic formula to find the value of "x":
x=(-b±√(b^2-4ac))/2a
x=3.71
The answer is: The width of the walkway is 3.71 ft