Question

Find an exponential model : Q is the population of bacteria in a Petri dish whose population was originally 150,000 but is tripling every 6 hours.

Answer 1

Answer:

150,000*3^t for 6 hour increments (t=1 is 6 hours t=2 is 12)

150,000*3^(t/6) for hourly increments, each t is 1 hour.  

Step-by-step explanation:

Well super simply you could do 150,000*3^t where t is measured in 6 hour intervals.  so t=1 is 6 hours, and to get 1 hour you would need to do t=1/6

If you want t to be an increase of every hour you would just need to adjust, like I showed before 1/6 gets one hour so 150,000*3^(t/6) would be the model where every t increases by 1 hour.