Question Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 2', where t is given in hours and q(t) is given in thousands of bacteria per hour. If a culture starts with 3,000 bacteria, find a function Q(t) that gives the number of bacteria in the Petri dish at any time t. How many bacteria are in the dish after 4 hours? Round your answer to the nearest thousand and do not include units. Provide your answer below:
Question Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 2', where t is given in hours and q(t) is given in thousands of bacteria per hour. If a culture starts with 3,000 bacteria, find a function Q(t) that gives the number of bacteria in the Petri dish at any time t. How many bacteria are in the dish after 4 hours? Round your answer to the nearest thousand and do not include units. Provide your answer below:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
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Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 2', where t is given in hours and q(t) is given in
thousands of bacteria per hour. If a culture starts with 3,000 bacteria, find a function Q(t) that gives the number of bacteria
in the Petri dish at any time t. How many bacteria are in the dish after 4 hours? Round your answer to the nearest thousand
and do not include units.
Provide your answer below:
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