3. A biologist is studying the growth of bacteria cells in a culture. She begins with 10 cells of bacteria in a nutrition-rich environment. For the first 24 hours of the study, the cells double in population every hour. The biologist writes the following equation to describe this population growth: y = 10 * 2t Where t is the number of hours since the study began, and y is the number of bacteria cells. a. How many bacteria are in the culture after 5 hours? b. At what time will there be 81,920 cells in the culture?

3. A biologist is studying the growth of bacteria cells in a culture. She begins with 10 cells of bacteria in a nutrition-rich environment. For the first 24 hours of the study, the cells double in population every hour. The biologist writes the following equation to describe this population growth: y = 10 * 2t Where t is the number of hours since the study began, and y is the number of bacteria cells. a. How many bacteria are in the culture after 5 hours? b. At what time will there be 81,920 cells in the culture?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter7: Exponents And Exponential Functions

Section7.8: Transforming Exponential Expressions

Problem 13PFA

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Does the equation y=2.294e0.654t representcontinuous growth, continuous decay, or neither?Explain.
The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?

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