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 (min) T (°F) t (min) T (°F) 0 251 35 106 5 225 40 95 10 200 50 86 15 177 60 79 20 155 90 73 25 30 136 118 Find the average rate of change of the temperature of the soup over the first 20 minutes and over the next 20 minutes. 120 150 70 70 first 20 minutes next 20 minutes °F/min °F/min During which interval did the soup cool off more quickly? the first 20 minutes the second 20 minutes neither

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
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 (min)
T (°F)
t (min)
T (°F)
0
251
35
106
5
225
40
95
10
200
50
86
15
177
60
79
20
155
90
73
25
30
136
118
Find the average rate of change of the temperature of the soup over the first 20 minutes and over the next 20 minutes.
120
150
70
70
first 20 minutes
next 20 minutes
°F/min
°F/min
During which interval did the soup cool off more quickly?
the first 20 minutes
the second 20 minutes
neither
Transcribed Image Text: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 (min) T (°F) t (min) T (°F) 0 251 35 106 5 225 40 95 10 200 50 86 15 177 60 79 20 155 90 73 25 30 136 118 Find the average rate of change of the temperature of the soup over the first 20 minutes and over the next 20 minutes. 120 150 70 70 first 20 minutes next 20 minutes °F/min °F/min During which interval did the soup cool off more quickly? the first 20 minutes the second 20 minutes neither
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 1 steps

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning