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 falcons elevation, and what is the initial value? (1 point)
A. The rate of change is 3,000 ft./sec., and the initial value is 250 ft.
B. The rate of change is -250 ft./sec., and the initial value is 3,000 ft.
C. The rate of change is 3,000 ft./sec., and the initial value is -250 ft.
D. The rate of change is 250 ft./sec., and the initial value is 3,000 ft.
Correct answer: B. "The rate of change is -250 ft./sec., and the initial value is 3,000 ft."
Apologies for the incorrect response. You are right. The correct answer is B. The rate of change is -250 ft./sec., and the initial value is 3,000 ft.
To find the rate of change and the initial value, we need to understand the given information. The falcon descends at a rate of 250 ft./sec from a height of 3,000 feet.
The rate of change refers to how the falcon's elevation is changing over time. In this case, since the falcon is descending, the rate of change would be negative. The falcon is losing elevation at a rate of 250 ft./sec, so the rate of change would be -250 ft./sec.
The initial value refers to the starting point or where the falcon began. In this case, the falcon starts from a height of 3,000 feet. Therefore, the initial value would be 3,000 ft.
Based on this explanation, the correct answer is:
B. The rate of change is -250 ft./sec., and the initial value is 3,000 ft.