Question

Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s). a professor is examining a new strain of bacteria. the amount of bacteria can be modeled by function s(n) = 20 · bn, where n is the number of hours and b is an unknown positive base. based on the model, there were initially bacteria. if b = 1.85, the hourly percent growth rate of the bacteria would be %.

Answer 1

The equation s(n) = 20.bn is an exponential equation, and the hourly percent growth rate of the bacteria would be 85%.

How to determine the hourly percent growth rate?

The value of b is given as:

b = 1.85%

Let the hourly percent growth rate of the bacteria be r.

So, we have:

b = 1 + r

Substitute b = 1.85%

1.85 = 1 + r

Subtract 1 from both sides

r = 0.85

Express as percentage

r = 85%

Hence, the hourly percent growth rate of the bacteria would be 85%.

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