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5-57.

A weather balloon is launched and the following data is sent to the meteorological center. The column marked time, , is given in seconds after launch, elevation, , is in feet above sea level, and temperature, , is in degrees Fahrenheit. Homework Help ✎

Time ()

Elevation ()

Temp ()

Since the derivative (IROC) cannot be determined, calculate the average rate of change.
For :

  1. Approximately how fast is the balloon rising at seconds?

  2. Approximately how fast is the temperature changing at feet elevation?

    Use Hana, Anah, or Hanah's method to approximate the rate of change for at .

  3. Approximately how fast is the temperature changing at seconds?

    Use Hana, Anah, or Hanah's method to approximate the rate of change for at .

  4. Why would you expect the product of the answers to (a) and (b) to equal answer (c)?