Question

Dr. Silas studies a culture of bacteria under a microscope. The function b_1(t)=1200(1.8)^t represents the number of bacteria t hours after Dr. Silas begins her study.
The number of bacteria in a second study is modeled by the function b_2(t)=1000(1.8^t.
What does the value of 1000 represent in this situation?
What does the difference of 1200 and 1000 mean between the two studies?

The _ means the 1&2 is under the b

Answer 1

The value of 1000 represent the initial population of bacteria in the study and the difference of 1200 and 1000 mean difference between the initial populations in the studies.

What are exponential Function ?

Exponential functions are are written as y(x) = abˣ

Here

a is the initial population

b is the rate of growth or decrease

x is the time taken

The Given exponential function is

$\rm b_1(t) = 1200( 1.8 )^t\\\\b_2(t) = 1000 (1.8)^t$

From the standard equation of Exponential function

(a) a = 1200 and 1000 is the initial population of the bacteria

(b)The difference of 1200 and 1000 means the difference between the initial populations in the studies

To know more about Exponential Function

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