The formula for the number of bacteria in the colony after t minutes is [tex]y=2000000(1.035)^t[/tex]
An exponential growth is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b > 1
Let y represent the bacteria population after t minutes
Given that initially has 2 million bacteria, hence:
a = 2 million = 2000000
It increases at a rate of 3.5% every minute, hence:
b = 100% + 3.5% = 1.035
The equation is:
[tex]y=2000000(1.035)^t[/tex]
Therefore the formula for the number of bacteria in the colony after t minutes is [tex]y=2000000(1.035)^t[/tex]
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