1. Modeling

2. Objective
SWBAT model and solve real-world situations using exponential or logarithmic functions

3. Warm up

4. Exponential models Modeling compound interest:
Modeling exponential growth or decay:

7. Newton’s Law of Cooling
T = (T0 – TR) e-rt + TR
T = temperature of the substance
T0= initial temperature
TR= room temperature
r = constant cooling rate of the substance
t is time in minutes

8. Example
You’re cooking stew. When you take it off the stove the temperature is 212°F. The room temperature is 70°F and the cooling rate of the stew is How long will it take to cool the stew to a serving temperature of 100°F?
Newton’s Law of Cooling: T = (T0 – TR) e-rt + TR
T = temperature of the substance
T0= initial temperature
TR= room temperature
r = constant cooling rate of the substance
t is time in minutes