Question

An acidophilus culture containing 150 bacteria doubles in population every hour. (a) Write a function representing the bacteria population for every hour that passes. (b) Graph the function. (c) Use the graph to predict the number of bacteria after 12 hours.,

Answer 1

The equation for this case is:
y = 150 * (2) ^ t
t= 12
y = 150 * (2) ^ (12)
y = 614400

The answer to your questions is y is equals to 614400.

Answer 2

For this case, what we should do is write an equation of the potential type.
We have then:
y = A * (b) ^ t
Where,
A: Initial population
b: Population growth as time passes
t: time
y: population after t hours.

Part A:
The equation for this case is:
y = 150 * (2) ^ t
Part B
See attached image.
Part C:
For this case we should evaluate the function for t = 12
We have then:
y = 150 * (2) ^ (12)
y = 614400