contestada

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.,

Respuesta :

carlosego
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
Ver imagen carlosego
aencabo
 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.