a.
The initial number of bacteria.
a.
Answer to Problem 38E
The initial number of bacteria is 100.
Explanation of Solution
Given:
Calculation:
For initial number of bacteria, put the time,
Hence, the initial number of bacteria is 100.
b.
The number of bacteria after 6 hours.
b.
Answer to Problem 38E
The number of bacteria after 6 hours is 6394.
Explanation of Solution
Given:
Calculation:
Substitute the values in the formula:
Hence, the number of bacteria after 6 hours is 6394.
c.
The time at which the bacteria grows to 200.
c.
Answer to Problem 38E
The time at which the bacteria grows to 200 is 1 hours approximately.
Explanation of Solution
Given:
Calculation:
Substitute the values in the formula:
Take natural logarithm to both sides:
Hence, the time at which the bacteria grows to 200 is 1 hours approximately.
Chapter 0 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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