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When yeasts dissolve with sugar in warm water they activate: the yeast fungi me- tabolize the sugar by breaking it down into alcohol, and start to reproduce. A baker decided to dissolve one packet of yeasts (a single packet contains one billion cells of yeast fungi) and track the increase in the number of yeasts over time. She observed that the amount of yeasts doubled in 1 hour, and decided to model the number of yeasts in the solution, N(t) as a function of time t with the equation N'(t) = kN (t), where k is a constant.

When yeasts dissolve with sugar in warm water they activate: the yeast fungi me- tabolize the sugar by breaking it down into alcohol, and start to reproduce. A baker decided to dissolve one packet of yeasts (a single packet contains one billion cells of yeast fungi) and track the increase in the number of yeasts over time. She observed that the amount of yeasts doubled in 1 hour, and decided to model the number of yeasts in the solution, N(t) as a function of time t with the equation N'(t) = kN (t), where k is a constant.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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When yeasts dissolve with sugar in warm water they activate: the yeast fungi me- tabolize the sugar by breaking it down into alcohol, and start to reproduce. A baker decided to dissolve one packet of yeasts (a single packet contains one billion cells of yeast fungi) and track the increase in the number of yeasts over time. She observed that the amount of yeasts doubled in 1 hour, and decided to model the number of yeasts in the solution, N(t) as a function of time t with the equation N'(t) = kN (t), where k is a constant.
Transcribed Image Text:When yeasts dissolve with sugar in warm water they activate: the yeast fungi me- tabolize the sugar by breaking it down into alcohol, and start to reproduce. A baker decided to dissolve one packet of yeasts (a single packet contains one billion cells of yeast fungi) and track the increase in the number of yeasts over time. She observed that the amount of yeasts doubled in 1 hour, and decided to model the number of yeasts in the solution, N(t) as a function of time t with the equation N'(t) = kN (t), where k is a constant.
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