### Home > CALC > Chapter 7 > Lesson 7.3.4 > Problem 7-148

7-148.

As time goes on, will the tea ever become colder than the room temperature?

Implicitly integrate to find *y*(*t*).

Find the value of '*C*' by evaluating the initial condition: when *t* = 0, *y* = 190.

*y* = 70 + 120*e*^{−0.1}^{t}

*y*(10) = ________________