How to match the features of a modeling function to their real-world meaning | Khan Academy

TL;DR

Temperature in New York City fluctuates throughout the day, reaching a relative maximum at 14 hours after midnight.

Transcript

Let T of [t], denote the temperature capital T in New York City measured in Celsius degrees Or degrees Celsius when it's t, lowercase t, hours after midnight on a given day. The function is graphed below The following table contains true statements. Match each statement with the feature on the graph that most closely corresponds to it So once again... Read More

Key Insights

• 🇳🇨 The temperature in New York City starts at -3 degrees Celsius at midnight and reaches 0 degrees Celsius at 8 AM.
• 😥 There is a relative maximum point in the temperature at 14 hours after midnight.
• 🐿️ The temperature is above zero between 8 AM and 8 PM, indicating a positive interval.

Questions & Answers

Q: What is the temperature in New York City at the beginning of the day?

The temperature is -3 degrees Celsius at the start of the day, which is at midnight.

Q: When does the temperature reach 0 degrees Celsius?

The temperature reaches 0 degrees Celsius at 8 AM, which is 8 hours after midnight.

Q: What is the significance of the y-intercept on the graph?

The y-intercept represents the temperature at the start of the day, which is -3 degrees Celsius.

Q: Is the temperature above or below zero between 8 AM and 8 PM?

The temperature is above zero between 8 AM and 8 PM, indicating a positive interval during that time.

Q: When does the temperature start to decrease again after reaching a maximum?

The temperature starts to decrease after 14 hours after midnight, which is the relative maximum point.

Q: When is it getting warmer according to the graph?

The temperature is getting warmer between 2 AM and 2 PM, with an increasing interval during that time.

Summary & Key Takeaways

• The temperature in New York City starts at -3 degrees Celsius at midnight and reaches 0 degrees Celsius at 8 AM.

• At 14 hours after midnight, there is a relative maximum point in the temperature.

• The temperature starts to decline after the relative maximum point.