Growth and Decay: Rational Exponents

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Presentation transcript:

Growth and Decay: Rational Exponents In the previous section we considered growth and decay using integral exponents. Although a graphing calculator easily gives an approximate value of $4.18, there remains the question of what a fractional exponent means.

Example 2. Suppose a car presently worth $8200 depreciates 20% per year. About how much will it be worth 2 years and 3 months from now? 2 years and 3 months = 2.25 years. It will be worth about $4963.

Example 5. A house bought five years ago for $100,000 was just sold for $135,000. To the nearest tenth of a percent what was the annual growth rate? To the nearest tenth of a percent, the growth rate was 6.2%