The number N of bacteria in a culture after t days is modeled by N- 700 1- + 2) Find the rate of change, in bacteria per day, of N with respect to t when the following values are true. (Round your answers to the nearest tenth.) (a) t = 0 X bacteria per day (b) t = 1 X bacteria per day (c) t = 2 X bacteria per day

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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The number N of bacteria in a culture after t days is modeled by
3
N = 700 1 –
(t2 + 2)2
Find the rate of change, in bacteria per day, of N with respect to t when the following values are true. (Round your answers to the
nearest tenth.)
(a)
t = 0
X bacteria per day
(b)
t = 1
X bacteria per day
(c)
t = 2
X bacteria per day
(d)
t = 3
X bacteria per day
(e)
t = 4
X bacteria per day
(f)
What can you conclude?
The rate of change of the population is always decreasing.
After the first day the rate of change of the population is decreasing.
After the first day the rate of change of the population is increasing.
O The number of bacteria is only increasing during the first day.
The rate of change of the population is always increasing.
Transcribed Image Text:The number N of bacteria in a culture after t days is modeled by 3 N = 700 1 – (t2 + 2)2 Find the rate of change, in bacteria per day, of N with respect to t when the following values are true. (Round your answers to the nearest tenth.) (a) t = 0 X bacteria per day (b) t = 1 X bacteria per day (c) t = 2 X bacteria per day (d) t = 3 X bacteria per day (e) t = 4 X bacteria per day (f) What can you conclude? The rate of change of the population is always decreasing. After the first day the rate of change of the population is decreasing. After the first day the rate of change of the population is increasing. O The number of bacteria is only increasing during the first day. The rate of change of the population is always increasing.
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