Question

The initial # of bacteria in a culture is 12,000. The # after 4 hours of the application of a new drug is 4,000.

1. Write an exponential function to model the population y of bacteria after x hours.
2. How many bacteria are there after 24 hours?

Answer 1

How would I change this: to exponential function of y = A * B^x

1. y=12000e^(kt)
2. 4000=12000e^4k
e^4k=4000/12000=1/3
4k=ln(1/3)
therefore k=[ln(1/3)]/4
To find how many bacteria after 24hours.
p=12000e^{24x[ln(1/3)]/4}
and you'll get 16.46 population

Answer 2

@Hero @ikram002p @TheSmartOne @aaronq @undeadknight26