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Reminder Round all answers to two decimal places unless otherwise indicated.
Long-Term Population Growth Although exponential growth can often be used to model population growth accurately for some periods of time, there are inevitably, in the long term, limiting factors that make purely exponential models inaccurate. From 1790 to 1860, the U.S. population could be modeled by
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FUNCTIONS AND CHANGE COMBO
- Population Growth In section 2.1, Exercise 37, the growth in world population in millions was approximated by the exponential function At=3100e0.0166t, where t is the number of years since 1960. Find the instantaneous rate of change in the world population at the following times. Source: United Nations. a. 2010 b. 2015arrow_forwardTracer Dye The amount of a tracer dye injected into the blood stream decrease exponentially, with a decay constant of 3 per minute. If 6 cc are present initially, how many cubic centimeters are present after 10 minutes? Here k will be negative.arrow_forwardUse a graphing calculator to solve each problem. In Example 4, suppose that a birth control program changed the formula for poulation growth to Pt=1000e0.01t. How long will the food supply be adequate? EXAMPLE 4 Using a Graphing Calculator to Solve a popuiation Problem Suppose that a country with a population of 1000 people is growing exponentially according to the population function Pt=1000e0.02t Where t in years. Furthermore, assume that the food supply, measured in adequate food per day per person, is growing linearly according to the function fx=30.625x+2000 In how many years will the population outstrip the food supply?arrow_forward
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