Algebra II.3.A.6 - Euler’s Number, e – Exit Ticket

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2 questions

Suppose that water is entering a cylindrical water tank so that the initial height of the water is 3 cm and the height of the water doubles every 30 seconds. Write an equation of the height of the water at time t seconds.

Explain how the number e arose in our exploration of the average rate of change of the height of the water in the water tank.

From EngageNY.org of the New York State Education Department. Grade Algebra II Mathematics Module 3, Topic A, Lesson 6. Internet. Available from https://www.engageny.org/resource/algebra-ii-modul...; accessed 21/Apr/2016.