Urgent math
posted by Emma .
The initial size of a culture of bacteria is 1000. After one hour the bacteria count is 4000.
(a) Find a function
n(t) = n0ert
that models the population after t hours.
n(t) =
b)Find the population after 1.5 hours. (Round your answer to the nearest whole number.)
n(1.5) = bacteria

Urgent math 
Damon
n = 1000 e^(kt)
note when t = 0, e^kt = e^0 = 1
so 1000*1 at t =0
4000/1000 = 4 = e^(k*1)
or
e^k = 4
k = ln 4 = 1.386
so
n = 1000 e^ (1.386 t)
it t = 1.5
n = 1000 e^(2.079)
n = 8000
Respond to this Question
Similar Questions

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 … 
CALCULUS
a bacteria culture grows with a constant per capita growth rate. After 2 hours there are 500 bacteria and after 6 hours the count is 312500, find the initial population and the population after 8 hours 
maths plse help me..
A bacteria culture has an initial population of 600. After 4 hours the population has grown to 1200. Assuming the culture grows at a rate proportional to the size of the population, find the function representing the population size … 
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? 
math
A culture starts with 8300 bacteria. After one hour the count is 10,000. (a) Find a function that models the number of bacteria n(t) after t hours. (Round your r value to three decimal places.) 
PreCalc
The initial size of a culture of bacteria is 1500. After 1 hour the bacteria count is 12000. (a) Find a function n(t) = n0e^rt that models the population after t hours. (Round your r value to five decimal places.) n(t) = (b) Find the … 
Math/Precalculus
Assume that the number of bacteria follows an exponential growth model: P(t)=P0e^k/t. The count in the bacteria culture was 400 after 10 minutes and 1500 after 35 minutes. (a) What was the initial size of the culture?