The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)
<h3>How to calculate Exponential Growth?</h3>
The formula for exponential growth is;
P = P₀e^(rt)
where;
P = current population at time t
P₀ = starting population
r = rate of exponential growth/decay
t = time after start
Thus, from our question we have;
4500 = 1500 * e^(r * 1)
4500/1500 = e^r
e^r = 3
In 3 = r
r = 1.0986
Thus, the function that represents the growth of this culture of bacteria as a function of time is;
P = 1500e^(1.0986t)
For the culture to double, then;
P/P₀ = 2. Thus;
e^(1.0986t) = 2
In 2 = 1.0986t
t = 0.6931/1.0986
t = 0.631 hours
Read more about Exponential Growth at; brainly.com/question/27161222
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Answer:
Slope=16
Step-by-step explanation:
<em><u>Hi there! :)</u></em>
<em><u>Answer:</u></em>
<em><u>x>24</u></em>
<em><u>*The answer must have a positive sign and greater than symbol sign.*</u></em>
<em><u>Step-by-step explanation:</u></em>
First, you switch sides.
Then, you subtract by 18 from both sides of an equation.
Finally, you subtract by the numbers from left to right.
<u><em>Final answer is x>24</em></u>
I hope this helps you!
Have a nice day! :)
-Charlie
:D
