Question

Inspect the function P(t) = 8 – 2√t² + 4. Is the profit increasing or decreasing?

A) Increasing
B) Decreasing
C) Constant
D) None of the above

Answer 1

The profit is decreasing as time increases.

Step-by-step explanation:

The function P(t) = 8 – 2√t² + 4 represents the profit as a function of time. To determine whether the profit is increasing or decreasing, we need to find the derivative of P(t). Taking the derivative of P(t), we get P'(t) = -4t⁄√t².

Since the derivative is negative for all values of t, we can conclude that the profit is decreasing. This means that as time increases, the profit decreases.