A colony of bacteria with an initial population of 3000 grows over time t (in hours) at a rate of 22% per hour. a). Use the growth rate to write an exponential function to model the growth. b). How long does it take for the population to double? A colony of bacteria with an initial population of 8000 decays over time t (in hours) at a rate of 15% per hour. a).Use the growth rate to write an exponential function to model the decay. b). How long does it take for the population to be cut in half?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...
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A colony of bacteria with an initial population of 3000 grows over time t (in
hours) at a rate of 22% per hour.

a). Use the growth rate to write an exponential function to model the growth.

b). How long does it take for the population to double?

A colony of bacteria with an initial population of 8000 decays over time t (in hours) at a rate of 15% per hour.

a).Use the growth rate to write an exponential function to model the decay.

b). How long does it take for the population to be cut in half?

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