A bacteria culture initially has 100 bacteria and in one hour has grown to 200 . Determine a formula that models the amount of bacteria, y ( t ) , after t hours. Assume that the bacteria culture's growth rate is proportional to its size
Added by -Ngeles B.
Step 1
Let's think step by step. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Andrew Noble and 78 other Calculus 1 / AB 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
Andrew N.
A bacteria culture starts with 1,000 bacteria and doubles in size every 2 hours. Find an exponential model for the size of the culture as a function of time t in hours. f(t) = Use the model to predict how many bacteria there will be after 2 days. f(t) = bacteria
Sameer K.
A bacteria culture contains 200 cells initially and grows at a rate proportional to its size. After half an hour the population has increased to 360 cells. (Hint: use the formula A(t)=A_0e^{kt} for this problem.) (a) Find the function for the number of bacteria after t hours. (b) What is the relative growth rate? (c) Find the number of bacteria after 4 hours. (d) When will the population reach 10,000?
Vishal P.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD