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MATH 1 - 31869 Quiz XI Spring 2021 Name: Date: This quiz is due by 11:59 pm Monday, May 10

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MATH 1 - 31869 Quiz XI Spring 2021 Name: Date: This quiz is due by 11:59 pm Monday, May 10. Your solutions to the following problems should be complete, given in the order they are stated, and uploaded to Canvas as a single document in PDF format. 1. (5 points) Assume that the population of Earth grows according to the exponential model P (t) = P0 ekt , as discussed in class. (a) If the rate of growth is k = 0.0125 and the initial population (in 2021) is 7.5 (in billions), what will the Earth’s population be in 2117? (b) How long will it take until the population doubles? 2. (5 points) In 1986, the Chernobyl nuclear power plant scattered radioactive iodine-131 (I 131 ) and cesium-137 (Cs137 ) across Europe. If the half-life of I 131 is 8 days, how long (in days) did it take for the level of Iodine released to decay to 0.1% of its original level?