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Home > CCA > Chapter 11 > Lesson 11.2.2 > Problem 11-52


The function where is the time in minutes, could represent the temperature over time of a hot cup of tea placed on the kitchen counter. What does the  represent in the context of this situation? What does the represent?

Separate the function into its component numbers and variables:

: Does this number seem familiar? What is special about F?

: What purpose does this number serve in the function? What does the -axis represent?

: This number gets smaller as x gets bigger. Could it represent a percentage?

: Could this be the temperature of something? What would this be the temperature of?

represents room temperature.
The cup of hot tea gets continually closer to as time progresses.

represents time, probably in minutes, that has passed.

represents the of heat difference that remains after each minute,
as of the difference is lost.

represents the initial temperature of the tea.