Dr. Garcia studies a culture of bacteria under a microscope. The function b_1 (t) = 1100〖 (1.7) 〗^t represents the number of bacteria t hours after Dr. Garcia begins her study. What does the value 1100 represent in this situation? What does the value 1.7 represent in this situation? The number of bacteria in a second study is modeled by the function b_2 (t) = 900〖 (1.7) 〗^t. What does the value of 900 represent in this situation and what does it tell you about the difference between the two studies?

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Mathematics

Patience Melton

26 March, 16:11

Dr. Garcia studies a culture of bacteria under a microscope. The function b_1 (t) = 1100〖 (1.7) 〗^t represents the number of bacteria t hours after Dr. Garcia begins her study. What does the value 1100 represent in this situation? What does the value 1.7 represent in this situation? The number of bacteria in a second study is modeled by the function b_2 (t) = 900〖 (1.7) 〗^t. What does the value of 900 represent in this situation and what does it tell you about the difference between the two studies?

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Romeo · Answer 1

The value '1000' in the first study indicate the number of bacteria initially (when t=0).

The value is '1.7' is the multiplier - there's an increase exponentially by 1.7 every given 't'

The value '900' in the second study indicate the number of bacterial initially (at t=0)

The first study has more number of bacterias at the beginning of the study