### Home > INT1 > Chapter 10 > Lesson 10.2.3 > Problem10-104

10-104.

Marley’s cup of tea was cooling. Its temperature with relation to time can approximately be modeled by the function $f(t)=140(0.5)^t+72$.

1. What does the $72$ represent in this situation?

As t gets larger, the function value approaches 72.

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

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

• $f(t)=140(0.5)t+68$