### Home > APCALC > Chapter 7 > Lesson 7.3.5 > Problem 7-158

7-158.

Let denote the temperature (in

*t*(in minutes). The temperature of the tea starts at

Describe the change in temperature of the tea in relation to the room temperature.

What is the temperature of the tea at any time

*t*?What is the temperature of the tea after

minutes?

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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) = ________________