The temperature of a glass of iced tea is initially 7°. After 6 minutes, the tea has heated to 15° in a room where the air temperature is 35°. a. Determine the temperature as a function of time. b. What is the temperature after 15 minutes? c. Determine when the tea will reach a temperature of 20°.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.1: Functions And Function Notation
Problem 9SC
icon
Related questions
Question

Differential equations: Please answer this using Newton's Law of cooling.

The temperature of a glass of iced tea is initially 7°. After 6 minutes, the tea
has heated to 15° in a room where the air temperature is 35°.
a. Determine the temperature as a function of time.
b. What is the temperature after 15 minutes?
c. Determine when the tea will reach a temperature of 20°.
Transcribed Image Text:The temperature of a glass of iced tea is initially 7°. After 6 minutes, the tea has heated to 15° in a room where the air temperature is 35°. a. Determine the temperature as a function of time. b. What is the temperature after 15 minutes? c. Determine when the tea will reach a temperature of 20°.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning