### Home > APCALC > Chapter 5 > Lesson 5.2.1 > Problem 5-57

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

Time ( | Elevation ( | Temp ( |

0 | 1260 | 56.4° |

30 | 1560 | 55.1° |

60 | 1920 | 53.9° |

90 | 2350 | 51.9° |

120 | 2750 | 49.5° |

150 | 3170 | 47.7° |

180 | 3600 | 45.0° |

210 | 4080 | 42.4° |

240 | 4560 | 40.9° |

Approximately how fast is the balloon rising at 120 seconds?

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

For*e*(*t*):Approximately how fast is the temperature changing at 2750 feet elevation?

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

*T*(*e*) at*e*= 2750.Approximately how fast is the temperature changing at 120 seconds?

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

*T*(*t*) at*t*= 120.Why would you expect the product of the answers to (a) and (b) to equal answer (c)?