A teacher makes a cup of coffee. At 13:00 the coffee in the cup has a temperature of 86 Celsius and is placed in a classroom that has a constant air temperature of 21' Celsius. The teacher forgets about the cup of coffee. The coffee cools at a rate proportional to the difference between the temperature of the coffee and the air temperature of the room. After 10 minutes, at 13:10, the temperature of the coffee is 63 Celsius. (a) Let h(t) be the function that models the temperature h (in Celsius) of the coffee at time t (in minutes). Find an expression for h(t). (b) Use your model from (a) to estimate the temperature of the coffee at 13:20.

A teacher makes a cup of coffee. At 13:00 the coffee in the cup has a temperature of 86 Celsius and is placed in a classroom that has a constant air temperature of 21' Celsius. The teacher forgets about the cup of coffee. The coffee cools at a rate proportional to the difference between the temperature of the coffee and the air temperature of the room. After 10 minutes, at 13:10, the temperature of the coffee is 63 Celsius. (a) Let h(t) be the function that models the temperature h (in Celsius) of the coffee at time t (in minutes). Find an expression for h(t). (b) Use your model from (a) to estimate the temperature of the coffee at 13:20.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section: Chapter Questions

Problem 30CR

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