Question

The doubling period of a bacteria population is 10 minutes. At time t = 110 minutes, the bacterial population was 800.

Answer 1

The initial population at time t = 0 was 0.39 while the size of the bacteria population after 4 hours was 6553600

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the bacteria population at time t. a represent the initial population at t = 0. Since the doubling period of a bacteria population is 10 minutes, hence:

$y=a(2)^\frac{t}{10}$

At time t = 110 minutes, the bacterial population was 800. Hence:

$800=a(2)^\frac{110}{10} \\\\a = 0.39$

At 4 hours (240 minutes):

$y=0.39(2)^\frac{240}{10} =6553600$

The initial population at time t = 0 was 0.39 while the size of the bacteria population after 4 hours was 6553600

Find out more on equation at: brainly.com/question/2972832

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