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The rate of increase of a euglena culture at any instant is proportional to the number of euglena present at that instant. Assume the growth constant for this culture is 3 /hour, and its initial population is 5 million. What is the population after 2.5 hours?

9.04 billion

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 7

Applications of Exponential and Logarithmic Functions

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This question is asking us to find the population after 2.5 hours of a population that started with five million and has a growth constant of 3/h. So we have this formula here that we're going to be using, and this one is actually pretty straightforward. We were given all the information we need, so we're looking to find it after 2.5 hours. So a. Over here, Our initial population was five million times E to the power of our growth constant, which was three times a time of 2.5 hours. Now, this one is pretty straight forward. You can just plug this hole, right hand side into your calculator. And what we get is that the population after 2.5 hours Is equal to about 9.04 billion.

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