What natural phenomenon is the best example of periodic behavior? a: amount of population in las angeles as a function of time. b: your average daily bank balance. c: the population of a city over time. d: tim of sunrise each day.

The time of sunrise is a natural phenomenon which is an example of periodic behavior

A periodic behavior refers to something that happens in regular intervals, such that the time between these intrevals, T, is called the period.

A simple example of this is how the week works, we know that if today is Monday, then exactly seven days from now it will be Monday again, so in this case, the period is 7 days.

So we just need to look at the given options and see which one is the periodic one.

A) amount of population in Las Angeles as a function of time.

The population in a city usually increases as time passes, so this is not periodic.

B) Your average daily bank balance.

Assuming you have a steady job and you control a lot your expenses, this could be periodic (when we look at the whole month) but this is a specific case, so this is not the correct option.

C) The population of a city over time.

Same as option A.

D) Time of sunrise each day.

This is periodic, as each day the sun rises at about the same time (depending on the position of the Earth), so the sunrise is a natural phenomenon which is an example of periodic behavior

Then the correct option is D.

If you want to learn more about periodic behavior, you can read:

link

Time of sunrise each day.

In mathematics, a periodic function is defined as a function returning to the same value at regular intervals(Oxford dictionary).

The mention of the term "periodic behavior" actually implies a behavior that repeats itself at regular intervals.

The sun rises daily hence, the time of sunrise each day is an example of a periodic behavior.

step-by-step explanation:

just plug in each number for x and see which ones work and don't

1 and 2

step-by-step explanation: