Modeling.

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Presentation transcript:

Modeling

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

Warm up

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

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

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 0.046. 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