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Explore the concept of exponential growth and decay functions in Precalculus, including half-life and doubling time calculations. Learn how to apply Newton's Law of Cooling to real-world scenarios.
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Honors Precalculus Day 7 Section 4.7 Perkins
y = Final Amount C = principal k = rate of growth/decay (%) t = time Half-life time needed for half of the original amount to remain Doubling-time time needed for the original amount to double Exponential Growth or Decay Function (Uninhibited)
The value of a certain piece of machinery depreciates at a rate of . Find its value 5 years after purchase. A radioactive substance is decaying at a rate given by . Find its half-life.
u(t) = temp of object at time t T = temp of atmosphere u0 = initial temp of object k = rate t = time 3. Pg 347 #14 Newton’s Law of Cooling
Honors Precalculus Day 7 Section 4.7 Perkins
Half-life time needed for half of the original amount to remain Doubling-time time needed for the original amount to double Exponential Growth or Decay Function
The value of a certain piece of machinery depreciates at a rate of . Find its value 5 years after purchase. A radioactive substance is decaying at a rate given by . Find its half-life.
3. Pg 347 #14 Newton’s Law of Cooling