SOLUTION: The count in a bacteria culture was 700 after 20 minutes and 1000 after 35 minutes. What was the initial size of the culture? Find the doubling period. Find th

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The count in a bacteria culture was 700 after 20 minutes and 1000 after 35 minutes. What was the initial size of the culture? Find the doubling period. Find th      Log On


   

Question 978086: The count in a bacteria culture was 700 after 20 minutes and 1000 after 35 minutes.
What was the initial size of the culture?
Find the doubling period.
Find the population after 100 minutes.
When will the population reach 13000.
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
More skills with logarithms, AND with linear equations.

x, time in minutes
N, initial population
y, resulting population
k, a constant
y=N%2Ae%5E%28kt%29

ln%28y%29=ln%28N%29%2Bkx
highlight_green%28ln%28y%29=kx%2Bln%28N%29%29------THIS is now a linear equation with slope k, and vertical axis intercept ln%28N%29. You need to use your vertical axis coordinates as ln%28y%29. Your two data points are (x, ln(y)).