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A lab worker monitors the growth of a bacteria colony starting at 9:00 a.m. At that time, there are 100 bacteria. According to the exponential function f(x) = 100(4)x, the bacteria quadruple every hour. Which equation could you use to determine the number of bacteria in the colony after 6 hours?

User Gqstav
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2 Answers

4 votes

Answer:

f(6) = 100(4)6

Explanation:

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User Joncalhoun
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We know that the exponential growth of the Bacteria's population is model by the function
f(x)=100(4)^x, so to find the number of bacteria after 6 hours, we just need to evaluate our function at
x=6. In other words, we are going to replace
x with 6 in our function:

f(x)=100(4)^x

f(6)=100(4)^6

f(6)=409600

We can conclude that the we should use the equation:
f(6)=100(4)^6 to find the number of bacteria in the colony after 6 hours. Evaluating the function we get that the number is 409,600.
User Muggles
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