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Understanding Exponential Functions and Value Appreciation Over Time

Explore exponential functions using data on a coin's value increase over years, calculate functions, ratios, doubling time, and value appreciation scenarios. Practice problems included for further understanding.

charity-haney
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Understanding Exponential Functions and Value Appreciation Over Time

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  1. Another Look at Exponential Functions and What They Mean! Exponent Guy

  2. An antique coin appreciates in value the older it gets. The following data shows that the value of a certain coin for every year since it was purchased. a) Using a graphing calculator with Diagnostics turned on, determine the function for this relationship. a initial value, when x = 0 b common ratio (app by 15%)

  3. How long does it take for the coin to double in value?

  4. Now if we take into consideration these two points (0 , 3) and (5, 6) as two points on the curve and replace the doubling effect as 2 for the base, how else can we represent this scenario? 5 is the time it will take to double. 3is the initial value when x = 0 2 is the base to show the price is doubling.

  5. Determining a Function from a Table Try Page 136 # 30

  6. More Examples: 1. An investment triples every six years. If you invest $2500, how much will it be worth after 25 years? After 25 years, the $2500 investment would be worth $243, 189.73 2. A house appreciates by 10% every 4 years. How much would a $100,000 house be worth in 20 years? After 20 years, the house could sell for $161, 051.

  7. Try Page 136 # 31, 32, 35, 39 & Page 150 # 16, 18, 19, 22, 24, 27

  8. The More Practice, the Better! Page 150 # 16, 18, 19, 22, 24, 27 & Page 160 # 15, 18, 21, 24, 25

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