Apopulation of bacteria doubles every 15 hours. initially, the population of bacteria is 40.

what is the population of the bacteria after 40 hours?

The population of the bacteria will be 254 after 40 hours

Step-by-step explanation:

Exponential Function

The exponential function can be expressed as

Being C the initial value, r the ratio and k a real value.

We know the population of bacteria doubles every 15 hours. That gives us r=2. We'll use the value of 15 later.

We also know the population of bacteria is initially C=40. We can now set up the particular function

We can know that when x=15 hours, the population has doubled, i.e. f(15)=80, so

It gives us

Or, equivalently:

The complete function is

Let's compute f(40):

The population of the bacteria will be 254 after 40 hours

where's the diagrams?

b

2

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b

b

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7

b

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14

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6

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3

b

3

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7

b

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14

b

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6

%

step-by-step explanation: