The table below represents the displacement of a bird from its nest as a function of time:

time
(hours)
x displacement
from nest
(miles)
y
0 12
1 20
2 28
3 36
4 44

part a: what is the y-intercept of the function, and what does this tell you about the bird? (4 points)

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. (4 points)

part c: what would be the domain of the function if the bird continued to fly at this rate until it traveled 172 miles from the nest? (2 points)