When a bowl of hot soup is left in a room, the soup eventually cools down to room temperature. The temperature 7 of the soup is a function of time t. The table below gives the temperature (in °F) of a bowl of soup t minutes after it was set on the table. T (°F) t (min) T (°F) 227 35 96 200 40 88 50 81 75 72 70 t (min) 0 5 10 176 154 136 119 30 107 70 Find the average rate of change of the temperature of the soup over the first 20 minutes and over the next 20 minutes. first 20 minutes °F/min °F/min next 20 minutes 15 20 25 During which interval did the soup cool off more quickly? O the first 20 minutes O the second 20 minutes O neither 60 90 120 150

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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 t. The table below gives the temperature (in °F) of a bowl of soup t minutes after it was set on the table.
t (min)
T (°F)
T (°F)
0
227
96
5
200
88
10
176
81
15
154
75
20
136
72
25
70
120
150
30
70
Find the average rate of change of the temperature of the soup over the first 20 minutes and over the next 20 minutes.
first 20 minutes
°F/min
°F/min
next 20 minutes
119
107
During which interval did the soup cool off more quickly?
O the first 20 minutes
O the second 20 minutes
O neither
t (min)
35
40
50
60
90
Transcribed Image Text: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 t. The table below gives the temperature (in °F) of a bowl of soup t minutes after it was set on the table. t (min) T (°F) T (°F) 0 227 96 5 200 88 10 176 81 15 154 75 20 136 72 25 70 120 150 30 70 Find the average rate of change of the temperature of the soup over the first 20 minutes and over the next 20 minutes. first 20 minutes °F/min °F/min next 20 minutes 119 107 During which interval did the soup cool off more quickly? O the first 20 minutes O the second 20 minutes O neither t (min) 35 40 50 60 90
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