Question

From a height of 3,000 feet, a falcon descends at a rate of 250 ft./sec. What is the rate of change in the falcon’s elevation, and what is the initial value?'
A. The rate of change is −250 ft./sec., and the initial value is 3,000 ft.
B. The rate of change is 3,000 ft./sec., and the initial value is −250 ft.
C. The rate of change is 250 ft./sec., and the initial value is 3,000 ft.
D. The rate of change is 3,000 ft./sec., and the initial value is 250 ft.

Answer 1

A. The falcon's elevation is decreasing at 250 ft/s, so dy/dt = −250 ft/s, and the initial elevation (at t = 0) is 3,000 ft.