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Answer:
The exponential function is
Step-by-step explanation:
Given
be the number of hours.
number of bacteria cells.
And we know that an exponential function is ,where
is a positive real number, and in which the argument
occurs as an exponent
The petri dish has bacteria cells we can say that
In the equation as is function of time and
will vary as
for respective hours.
To find the value of we have to understand that it is dependent on percent increase if there is increment of
then
So the exponential function will be ,plugging the values it will be equivalent to
Check:
So in first hour the cells will increased by a quantity of cells.
The number of cells after an hour in the petri dish
That can also be from the formula.
So the exponential function is
will increase exponentially as the value of
increase.