Calculus :)
posted by Brit .
The number of bacteria in a culture is modeled by n(t)=1550e^(0.24t)
(a) The initial number of bacteria is _____
(b) The relative rate of growth of this bacterium population is _____
(c) The number of bacteria after 3 hours is _____
(d) After how many hours will the number of bacteria reach 10,000? _____

(a) n(t) = 1550 (when t = 0)
(b) relative to what?
(c) If t is in hours in the equation, plug in t = 3 and calculate
(d) Solve 10,000 = 1550 e^0.24t for t
0.24 t = ln6.452 = 1.864
t = ____
Respond to this Question
Similar Questions

Math
I'm not sure how to do this question 7. The growth of bacteria in culture can be described by the equation N1 = N0e' where N is the number of bactena at any time t, No is the initial number of bacteria, and k is a constant. The time … 
Precalculus
NEED HELP ASAP PLEASE!! A bacteria culture starts with 2000 bacteria and the population doubles every 3 hours. a) A function that models the number of bacteria after t hours is p(t)=____________? 
Calc
The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours. a) Find the initial population. b) Write an exponential … 
MATH :)
3. In Biology, it is found that the bacteria in a certain culture double every halfhour. If the initial number of bacteria in culture is 1000, A. Find the defining equation for the number N of bacteria in culture after T hours, assuming … 
math
The number of bacteria in a culture is modeled by n(t)=1710e071t (a) The initial number of bacteria is (b) The relative rate of growth of this bacterium population is (c) The number of bacteria after 3 hours is (d) After how many hours … 
Math
he number of bacteria in a culture is modeled by n(t)=1710e071t (a) The initial number of bacteria is (b) The relative rate of growth of this bacterium population is (c) The number of bacteria after 3 hours is (d) After how many hours … 
math
The number of bacteria in a culture is modeled by: n(t) = 1330e^(0.42t) (a) The initial number of bacteria is: (b) The relative rate of growth of this bacterium population is: (c) The number of bacteria after 3 hours is: (d) After … 
College Algebra
The number of bacteria in a certain culture increased from 500 to 1000 between 7:00 A.M. and 9:00 A.M. Assuming growth is exponential, the number f(t) of bacteria t hours after 7:00 A.M. is given by f(t) = 500(2)^t/2. (a) Estimate … 
Calculus (math)
A bacteria culture grows with constant relative growth rate. The bacteria count was 784 after 2 hours and 117649 after 6 hours. What is the relative growth rate? 
Urgent math
population growth model. Can anybody please help me out in trying to solve this problem?