Concept explainers
(a) There is a trick, called the Rule of 70, that can be used to get a quick estimate of the doubling time or half-life of an exponential model. According to this rule, the doubling time or half-life is roughly 70 divided by the percentage growth or decay rate. For example, we showed in Example 5 that with a continued growth rate of
(b) Use the Rule of 70 to estimate the doubling time of a population that grows exponentially at a rate of
(c) Use the Rule of 70 to estimate the half-life of a population that decreases exponentially at a rate of
(d) Use the Rule of 70 to estimate the growth rate that would be required for a population growing exponentially to double every 10 years.
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