# 7.1 Exercises .pdf - Intro to Differential Equations...

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1. The rate of growth of a certain bacteria B, in a petri dish is proportional to the number of bacteria in the dish. 2. An object moves along a straight line. It speed S , is inversely proportional to the square of the distance S , the object traveled. 3. Every month the balance, B , of Rachel’s car loan increases by 4.5% and decreases by \$375.00. 4. The fraction of the student body P, who has heard a rumor increases at a rate proportional to the fraction of the population who has not yet heard the rumor. 5. The rate of growth of a population of grasshoppers is inversely proportional to the square root of the population. 6. The rate of decay of a certain substance R , is inversely proportional to the amount of substance remaining. 7. Your sweet potato casserole C , is removed from a hot oven. The room temperature of the kitchen is 75 Ԭ . The rate at which the casserole cools is proportional to the difference between the room temperature and the temperature of the casserole.