Question

you are tracking the temperature in new york city over a 24 - hour period. you start recording temperatures at midnight and continue until the next midnight. the temperature changes throughout the day, influenced by various factors such as sunlight, weather conditions, and human activities.
from midnight to 6 am the temperature hovers around $10^{circ}f$. then from 6 am to 12 pm, the sun rises and by noon the temperature reaches $20^{circ}f$. around 3 pm the temperature peaks around $25^{circ}f$. from 3 pm to 6 pm the temperature falls slightly to around $18^{circ}f$. from 6 pm to midnight the continues to drop to around $12^{circ}f$, where it begins to stabilize.
describe each of these time intervals as increasing, decreasing, or constant in the table below.

Explanation:

Step1: Analyze Midnight to 6 am

The temperature hovers around \(10^{\circ}F\). So it is constant.

Step2: Analyze 6 am to 12 pm

The temperature goes from \(10^{\circ}F\) to \(20^{\circ}F\). So it is increasing.

Step3: Analyze 12 pm to 3 pm

The temperature goes from \(20^{\circ}F\) to \(25^{\circ}F\). So it is increasing.

Step4: Analyze 3 pm to 6 pm

The temperature goes from \(25^{\circ}F\) to \(18^{\circ}F\). So it is decreasing.

Step5: Analyze 6 pm to Midnight

The temperature goes from \(18^{\circ}F\) to \(12^{\circ}F\). So it is decreasing.

Answer:

Midnight to 6 am: Constant (C)
6 am to 12 pm: Increasing (D)
12 pm to 3 pm: Increasing (G)
3 pm to 6 pm: Decreasing (K)
6 pm to Midnight: Decreasing (N)