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? 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 if the bird continued to fly at this rate until it traveled 172 miles from the nest?

Answer 1

Answer: See each part below.

Part A: The y-intercept is the first value, or 12. That means that they bird is 12 miles from its nest when the time started.

Part B: The average rate of change is the slope. From 1 to 3 hours, the bird went from 20 to 36 or 16 miles. 16 miles in 2 hours is the same as 8 miles in 1 hour.

Part C: To find the extent of the domain, write and solve the following equation for 172 miles.
172 = 8x + 12
160 = 8x 
20 = x

The domain will go up to 20 hours.