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# Rates - Name Date Period Calculus B Use the initial...

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Name ____________________________ Date ____________________________ Period ____________________________ Calculus B Use the initial conditions to solve each problem. 1. There is initially a colony of 500 bacteria on a rotting piece of meat. The population b grows according to the equation kb dt db = , where k is a constant and t is measured in hours. If the population triples every five hours, find an equation for b in terms of t . 2. Pizza consumption, p , is given by the equation kp dt dp = , where k is a constant and t is measured in days. Initially there were 20,000 pizzas consumed, and the amount of pizza consumption doubled every 10 days. Find an equation for p in terms of t . 3. Sugar consumption, s , in Los Angeles is given by the equation ks dt ds = , where k is a constant and t is measured in years. Initially there was 100,000 barrels of sugar consumed. The amount of consumption triples every two years. Find an equation for s in terms of t . 4. Population y grows according to the equation ky dt dy = , where k is a constant and t is measured in years. If the population doubles every 5 years, find the value of k .

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