12/18/2015 Perkins Honors Precalculus Day 7 Section 4.7.

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12/18/2015 Perkins Honors Precalculus Day 7 Section 4.7

Exponential Growth or Decay Function 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 (Uninhibited)

1.The value of a certain piece of machinery depreciates at a rate of. Find its value 5 years after purchase. 2.A radioactive substance is decaying at a rate given by. Find its half-life.

Newton’s Law of Cooling u(t) = temp of object at time t T = temp of atmosphere u 0 = initial temp of object k = rate t = time 3. Pg 347 #14

Perkins Honors Precalculus Day 7 Section 4.7

Exponential Growth or Decay Function Half-life time needed for half of the original amount to remain Doubling-time time needed for the original amount to double

1.The value of a certain piece of machinery depreciates at a rate of. Find its value 5 years after purchase. 2.A radioactive substance is decaying at a rate given by. Find its half-life.

Newton’s Law of Cooling 3. Pg 347 #14