A population of amoebas in a petri dish will triple in size every 20 minutes. At the start of an experiment the population is 800. The function y = 800.3,
where x is the number of 20 minute periods, models the population growth. How many amoebas are in the petri dish after 3 hours?

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, , 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, (Answer)

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~