CPM Homework Banner
8-83.

Guests are arriving for a show when the theater manager realizes he forgot to turn on the air conditioning. The guests are very hot and uncomfortable. At 2:04 p.m. the manager turns on the air conditioning. It is F in the theater. Homework Help ✎

  1. At 2:15 p.m. the manager announces that he has bad news. Using average rate of change he predicts the theater will not cool off to a comfortable F until 3:00 p.m. What calculations did the theater manager make? What was the temperature at 2:15 p.m.?

    Time of day (p.m.)

    2:04

    2:15

    3:00

    Temperature ()

  2. As the air conditioner continued cooling, the manager recorded these actual temperatures:

    Time of day (p.m.)

    2:04

    2:15

    2:24

    2:32

    2:37

    2:53

    3:01

    3:18

    3:27

    3:40

    Temperature (F)

    What was the average rate of change after 3:00 p.m. until the temperature reached F? Why was the manager so far off in his prediction?

    By looking at the table, the temperature dropped in minutes.