A biologist observed that the population of her bacteria culture obeyed the population growth law. There were 300 bacteria initially and the population increased by 20% after 2 hours. Determine the number of bacteria (rounded off to the nearest bacterium) after 24 hours (a) 2675 (b) 2486 (c) 2917 (d) 2249 (e) None of the above
Added by Virginia S.
Step 1
- The population increased by 20% after 2 hours, so we can calculate the new population using the formula: New Population = Initial Population + (Initial Population * Growth Rate) New Population = 300 + (300 * 0.20) New Population = 300 + 60 New Population = 360 Show more…
Show all steps
Close
Your feedback will help us improve your experience
Babita Kumari and 59 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to $420 .$ (a) Find an expression for the number of bacteria after $t$ hours. (b) Find the number of bacteria after 3 hours. (c) Find the rate of growth after 3 hours. (d) When will the population reach $10,000 ?$
Babita K.
2. The number N of bacteria present in a culture at time t (in hours) obeys the law of uninhibited growth N(t)=780e^0.01t (a) Determine the number of bacteria at t=0 hour (b) What is the growth rate of the bacteria? (c) What is the population after 3 hours? (d) When will the number of bacteria reach 1460? (e) when will the number of bacteria double
Michelle B.
INVERSE FUNCTIONS
Exponential Growth and Decay
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD