A community for students.
Here's the question you clicked on:
 0 viewing
kngyn
 3 years ago
A bacteria culture starts with 1,500 bacteria and doubles in size every 4 hours. Find an exponential model for the size of the culture as a function of time t in hours
kngyn
 3 years ago
A bacteria culture starts with 1,500 bacteria and doubles in size every 4 hours. Find an exponential model for the size of the culture as a function of time t in hours

This Question is Closed

EngineerChris
 3 years ago
Best ResponseYou've already chosen the best response.0sry... r = (ln2)/4 the last answer is still correct

EngineerChris
 3 years ago
Best ResponseYou've already chosen the best response.0Valpey, what do you think?

shanna
 3 years ago
Best ResponseYou've already chosen the best response.0P = Noe^(kt) where P is amount after t time No is the initial amount . No is 1500 bacteria doubles in size every 4 hours so when t=4, P = 3000 3000 = 1500e^(4k) 2= e^(4k) ln(2) = 4k ln(2)/4 = k 0.17328679513999 =k so k=0.1733 P = 1500e^(0.1733t) so required equation is . F(t) = 1000e(0.34657t)

Annand
 3 years ago
Best ResponseYou've already chosen the best response.0initially its 1500 after 4hrs it becomes 1500*2 after 8 hrs> 1500*2^2 after 12hrs>1500*2^3 . . . after 4*t hrs>1500*2^t so after t hrs its given by \[1500*2^t/4\]
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.