Question

During an illness a person ran a fever. His temperature rose steadily for sixteen hours, then went steadily down for twenty-two hours. When was there a critical point for his temperature as a function of time? There was a critical point after the first ___________ hours.

Answer 1

There was a critical point after the first 16 hours.

Explanation:

A critical points happens when the behavior of a function changes. That is, either it goes from increasing to decreasing, or it goes from decreasing to increasing.

In this problem, we have that:

Rose for sixteen hours

After the first 16 hours.

Went steadily down for twenty-two hours.

So after the first 16 hours, there was a critical point.

So the correct answer is:

There was a critical point after the first 16 hours.