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Santa's Exponential Adventure: Growth & Decay Calculations

Explore Santa's tracking of costs, nice list reductions, and Rudolf's weight changes using exponential growth and decay formulas. Calculate future costs, list sizes, and weights based on given rates and current values.

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Santa's Exponential Adventure: Growth & Decay Calculations

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  1. Section 5-1 Growth & Decay: Integral Exponents

  2. Exponential Growth • Santa has tracked costs and found out the cost to make a teddy bear is increasing by 9%. If the current cost to make a teddy bear is $4, how much will it cost in 5 years?

  3. Exponential Decay • Santa also found out the number of children on the nice list in Rapid City, SD is decreasing at a rate of 5%. If there are currently 32,000 kids on the nice list how many will there be in 2015?

  4. Exponential Growth & Decay • Exponential Growth: • Exponential Decay:

  5. Exponential Growth & Decay • Rudolf has been sneaking into the candy canes factory, and his weight is increasing at a rate of 7% a year. If he currently weighs 200 lbs how much did he weigh in 2010? How much will he weigh in 2014 if Santa doesn’t catch him.

  6. Laws of Exponents

  7. Laws of Exponents

  8. EXAMPLES

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