### Home > CC4 > Chapter 10 > Lesson 10.2.3 > Problem 10-104

10-104.

Marley’s cup of tea was cooling. Its temperature with relation to time can approximately be modeled by the function

*f*(*t*) = 140(0.5)+ 72. Homework Help ✎^{t}What does the 72 represent in this situation?

Marley decides to save energy and lower the temperature of her cottage to 68º. How would this change the model?

As *t* gets larger, the function value approaches 72.

Consider the significance of part *b*. Will the tea get cooler than surrounding air temperature?

*f*(*t*) = 140(0.5)* ^{t}* + 68