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A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 100 bacteria that grow at a rate of 12% per hour. He will check on the bacteria every 8 hours. How many bacteria will he find in 8 hours? Round your answer to the nearest whole number.

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raphealnwobi

Based on the growth of the bacteria, there would be 248 bacteria in 8 hours.

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the amount of bacteria remaining after x hours.

The bacteria grow at the rate of 12% per hour. Hence:

b = 100% + 12% = 1.12

There are initially 100 bacteria, hence a = 100.

The equation becomes:

y = 100(1.12)ˣ

After 8 hours:

y = 100(1.12)⁸ = 248 bacteria

There would be 248 bacteria in 8 hours.

Find out more at: https://brainly.com/question/7259975

Answer:

248

Step-by-step explanation:

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