Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Answer:
There are 81,377,396 bacteria in the population after 4 hours. The population reaches 100 million bacteria after 244.12 minutes.
Step-by-step explanation:
Systems that exhibit exponential growth increase according to the mathematical model
y={y}_{0}{e}^{kt},
where {y}_{0} represents the initial state of the system and k>0 is a constant, called the growth constant.
We have f(t)=200{e}^{0.02t}. Then
f(300)=200{e}^{0.02(300)}\approx 80,686.
There are 80,686 bacteria in the population after 5 hours.
To find when the population reaches 100,000 bacteria, we solve the equation
The population reaches 100,000 bacteria after 310.73 minutes.
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.