y-intercepts in Real-World Problems Quick Check

Question

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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? (1 point)
Responses

The rate of change is 3,000 ft./sec., and the initial value is 250 ft.
The rate of change is 3,000 ft./sec., and the initial value is 250 ft.

The rate of change is −250
ft./sec., and the initial value is 3,000 ft.
The rate of change is negative 250 ft./sec., and the initial value is 3,000 ft.

The rate of change is 3,000 ft./sec., and the initial value is −250
ft.
The rate of change is 3,000 ft./sec., and the initial value is negative 250 ft.

The rate of change is 250 ft./sec., and the initial value is 3,000 ft.

Answer 1

In this scenario, the falcon is descending from a height of 3,000 feet at a rate of 250 feet per second.

• The rate of change in the falcon’s elevation is negative because it is descending. Therefore, the rate of change is -250 ft./sec.
• The initial value represents the starting elevation from which the falcon is descending, which is 3,000 feet.

So, the correct response is:

The rate of change is −250 ft./sec., and the initial value is 3,000 ft.