anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
a(t)=Ae^rt
anonymous
  • anonymous
3000=1500e^4r
anonymous
  • anonymous
ln2=4r

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
t=ln2/4
anonymous
  • anonymous
a(t)=Ae^(ln2)t/4
anonymous
  • anonymous
sry... r = (ln2)/4 the last answer is still correct
anonymous
  • anonymous
Valpey, what do you think?
anonymous
  • anonymous
P = 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)
anonymous
  • anonymous
initially 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 \[1500*2^t/4\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.