After 19 hours, 3,084 bacteria will be present.
An exponential function is a type of function in math that involves exponents. A basic exponential function is of the form f(x) = bˣ, where b > 0 and b ≠ 1.
Here, given equation;
P = A[tex]e^{kt}[/tex]
This is a geometric sequence but you don't know the growth factor, so you would solve for it first.
2400= 2000(x)⁸
1.2= x⁸
x= 1.02305188
You can round depending on what your teacher prefers.
Now you can plug in your growth factor and solve.
A(19)= 2000 X (1.02305188)¹⁹
A(19)= 2000 X 1.54189747739
A(19)= 3083.79495477
Thus, after 19 hours, 3,084 bacteria will be present.
Learn more about Exponential function from:
https://brainly.com/question/12161027
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