Question

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)

Answer 1

looks like you have 5 ordered pairs.
(0,12), (1,20), (2,28), (3,36) and (4,44)

it looks like for each increase of 1 in the x, the y increases by 8

so you have y = 8x + ....
and of course (0,12) is the y-intercept

y = 8x + 12

you should be able to handle the rest