The number of bacteria in a culture is given by the function n(t)= 970e0.5t where t is measured in hours. (a) What is the relative rate of growth of this bacterium population? Your answer is percent (b) What is the initial population of the culture (at t=0)? Your answer is (c) How many bacteria will the culture contain at time t=5? Your answer is

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.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.3: Applications: Growth And Decay
Problem 15E
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### Bacterium Population Growth Problem

The number of bacteria in a culture is given by the function:

\[ n(t) = 970e^{0.5t} \]

where \( t \) is measured in hours.

#### Questions:

1. **What is the relative rate of growth of this bacterium population?**
   - Your answer is: \_\_\_\_\_\_\_\_ percent

2. **What is the initial population of the culture (at \( t = 0 \))?**
   - Your answer is: \_\_\_\_\_\_\_\_

3. **How many bacteria will the culture contain at time \( t = 5 \)?**
   - Your answer is: \_\_\_\_\_\_\_\_

Click on "Next Question" to proceed to the following problem.
Transcribed Image Text:### Bacterium Population Growth Problem The number of bacteria in a culture is given by the function: \[ n(t) = 970e^{0.5t} \] where \( t \) is measured in hours. #### Questions: 1. **What is the relative rate of growth of this bacterium population?** - Your answer is: \_\_\_\_\_\_\_\_ percent 2. **What is the initial population of the culture (at \( t = 0 \))?** - Your answer is: \_\_\_\_\_\_\_\_ 3. **How many bacteria will the culture contain at time \( t = 5 \)?** - Your answer is: \_\_\_\_\_\_\_\_ Click on "Next Question" to proceed to the following problem.
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