The table below represents the displacement of a horse from its barn as a function of time:
time(hours) x.
0
1
2
3
4
displacement from barn (feet) y
8
58
108
158
208

part a: what is the y-intercept of the function, and what does this tell you about the horse? part b: calculate the average rate of change of the function represented by the table between x=1 to x=3 hours, and tell what the average rate represents. part c: what would be the domain of the function of the horse continued to walk at this rate until it traveled 508 feet from the barn?