I would like this problem to be solved via Differential Equations. Thank you! Suppose you cool a pot of soup in a 75 °F room. Right when you take the soup off the stove, you measure its temperature to be 220 °F. Suppose after 20 minutes, the soup has cooled to 170 °F. Suppose you can eat the soup when it is 130 °F. How long will it take to cool to this temperature?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.85TI: Hector invests $10,000 at age 21. He hopes the investments will be worth when he turns 50. If the...
icon
Related questions
Question

I would like this problem to be solved via Differential Equations. Thank you!
Suppose you cool a pot of soup in a 75 °F room. Right when you take the soup off the stove, you measure its temperature to be 220 °F. Suppose after 20 minutes, the soup has cooled to 170 °F. Suppose you can eat the soup when it is 130 °F. How long will it take to cool to this temperature?

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning