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Exponent Guy. 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.

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Presentation on theme: "Exponent Guy. 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."— Presentation transcript:

1 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. x # of years since purchased 0123456789 y Value of coin in $ 33.453.984.58 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? 3 is the initial value when x = 0 2 is the base to show the price is doubling. 5 is the time it will take to double.

5 Try Page 136 # 30 x0246 y200181.62.1458 Determining a Function from a Table

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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