Suppose that, for a certain population of bacteria, growth occurs according to dy/dt = ky (t in

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Suppose that, for a certain population of bacteria, growth occurs according to dy/dt = ky (t in hours, k constant) If the doubling rate depends on temperature, find how long it takes for the number of bacteria to reach 50 times the original number at each given temperature in parts (a) and (b).
(a) At 90°F, the number doubles after 30 minutes (12 hour).
(b) At 40°F, the number doubles after 3 hours.
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