35. Cooling Soup When a bowl of hot soup is left in a room, the soup eventually cools down to room temperature. The temperature T of the soup is a function of time 1. The table below gives the temperature (in °F) of a bowl of soup t min- utes after it was set on the table. Find the average rate of change of the temperature of the soup over the first 20 min- utes and over the next 20 minutes. During which interval did the soup cool off more quickly? t (min) T (°F) t (min) T (°F) 200 35 94 5 172 40 89 10 150 50 81 15 133 60 77 20 119 90 72 25 108 120 70 30 100 150 70

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Book Collection Between 1980 and 2000 a rare book collector purchased books for his collection at the rate of 40 books
per year. Use this information to complete the following
table. (Note that not every year is given in the table.)

35. Cooling Soup When a bowl of hot soup is left in a room,
the soup eventually cools down to room temperature. The
temperature T of the soup is a function of time 1. The table
below gives the temperature (in °F) of a bowl of soup t min-
utes after it was set on the table. Find the average rate of
change of the temperature of the soup over the first 20 min-
utes and over the next 20 minutes. During which interval did
the soup cool off more quickly?
t (min)
T (°F)
t (min)
T (°F)
200
35
94
5
172
40
89
10
150
50
81
15
133
60
77
20
119
90
72
25
108
120
70
30
100
150
70
Transcribed Image Text:35. Cooling Soup When a bowl of hot soup is left in a room, the soup eventually cools down to room temperature. The temperature T of the soup is a function of time 1. The table below gives the temperature (in °F) of a bowl of soup t min- utes after it was set on the table. Find the average rate of change of the temperature of the soup over the first 20 min- utes and over the next 20 minutes. During which interval did the soup cool off more quickly? t (min) T (°F) t (min) T (°F) 200 35 94 5 172 40 89 10 150 50 81 15 133 60 77 20 119 90 72 25 108 120 70 30 100 150 70
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