Concept explainers
To find: the error in given solution.
Answer to Problem 31E
The error is in the model for exponential growth function for the given data.
Correct function is
Explanation of Solution
Given:
The growth rate of bacterial culture is 150% each hour. Initially, there are 10 bacteria.
Then, number of bacteria in culture after 8 hours is:
So, after 8 hours, there are 256 bacteria in the culture.
Concept used:
Exponential growth function:
Here, the y is the final value, a is the initial value, and r is the rate of growth (in decimal form).
Calculation:
The error here is in the model for exponential growth function for the given data.
Here,
So, the correct function is
Then, number of bacteria in culture after 8 hours is:
So, number of bacteria in culture after 8 hours will be about 15,259.
Chapter 6 Solutions
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