Concept explainers
(a)
To find: The model the populations after t hours.
(a)
Answer to Problem 7T
Explanation of Solution
Given: The initial size of a culture is 1000. After one hours the bacteria count is 8000.
The initial population,
After 1 hours,
Let exponential function,
Hence, the model is
(b)
To find: The population after 1.5 hours.
(b)
Answer to Problem 7T
22627
Explanation of Solution
Given: The model is
Put t=1.5 into model
Hence, the population of bacteria after 1.5 hours approx. 22627.
(c)
To find: The time when population reach to 15,000
(c)
Answer to Problem 7T
1 hour 18 minutes
Explanation of Solution
Given: The model is
Put
Hence, after 1 hour 18 minutes populations reach 15,000.
(d)
To sketch: The graph of
(d)
Answer to Problem 7T
Explanation of Solution
Given: The model is
Graph the model using graphing calculator.
Chapter 4 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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