Answer:
[tex]y = 1.14791256 \times 10^{10}[/tex]
Step-by-step explanation:
The population of amoebas in a dish becomes three times in size after every 20 minutes.
Now, the equation that models the situation is, [tex]y = 800(3)^{x}[/tex], where y is the number of amoebas and x is the number of 20 minutes passed.
Now, the above equation also shows that the initial numbers of amoebas at the start of the experiment were 800.
Therefore, after 3 hours i.e. 180 minutes i.e. 15 numbers of 20 minutes (x = 15) the population of amoebas will be, [tex]y = 800(3)^{15} = 1.14791256 \times 10^{10}[/tex] (Answer)
