The number of N bacteria in a culture can be modeled through the continuous growth model. If the there were 100 bacteria initially and the value for k is 0.5, what will the population of the bacteria be in 10 hours, where t is the number of hours?

A 14,841
B 148
C 165
D 22,026
E 500

Question

The number of N bacteria in a culture can be modeled through the continuous growth model. If the there were 100 bacteria initially and the value for k is 0.5, what will the population of the bacteria be in 10 hours, where t is the number of hours?

A 14,841
B 148
C 165
D 22,026
E 500

anonymous · Answer

$$N=N_0e ^{kt}$$

anonymous · Answer

Could you help show me the steps to answer this on my calculator please? Thank you.

anonymous · Answer

$$N_0 = initial bacteria$$
e= natural log
k= .5
t= time (10 hrs)

take e^(k*t) then multiply that by $$N_0$$

anonymous · Answer

So I would multiply that No by 100 after solving the e^(.5*10)?

anonymous · Answer

yea

anonymous · Answer

$$100*e ^{.5*10}$$

anonymous · Answer

Thank you so much. I appreciate the time you took to help me jN7. (:

anonymous · Answer

np