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In-s [12.5K]
3 years ago
12

A colony of bacteria is growing exponentially according to the function below, where t is in hours. How many bacteria are there

after 8 hours? Round to the nearest integer and do not include units in your answer. B(t) = 4 e0.8t
Mathematics
2 answers:
pychu [463]3 years ago
5 0
The growth of the bacteria is expressed as:

<span>B(t) = 4 e^0.8t
</span>
where t is the time in units of hours. If the bacteria is allowed to grow for 8 hours then the number of bacteria present would be,


<span>B(t) = 4 e^0.8(8)
</span><span>B(t) = 2407</span>
lianna [129]3 years ago
5 0
To be able to determine the number of bacteria after 8 hours, substitute 8 for all the t's in the given function.
                            B(t) = 4 x e^0.8t
                        B(8) = 4 x e^(0.8)(8)
The numerical value of B(8) is 2407.38. Therefore, there are approximately 2407 bacteria. 
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