Question

A culture started with 2,000 bacteria. After 8

Answer 1

After 19 hours, 3,084 bacteria will be present.

What is Exponential function?

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$e^{kt}$

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:

brainly.com/question/12161027

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