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Question

The number of bacteria cells, in millions, after t hours for a specific type of bacteria can be predicted using the general square root function B(t)=tB(t)=\sqrt{t}.

When a scientist starts with one million cells in a certain environment, the number of cells, in millions, after t hours is one more than that found using the parent function. Write a function describing the number of bacteria over time.

Solution

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Answered 2 years ago
Answered 2 years ago
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Since the number of millions of bacteria is one more than the original parent function, new function is translated 1 unit up. This means that new function is:

B2(t)=B(t)+1B2(t)=t+1B_2(t)=B(t)+1\\\\ B_2(t)=\sqrt t+1

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