Write a function, f(n), to model the number of snails in the tank

The population of snails in a tank at the aquarium is found to triple every year. Mark visits the aquarium and counts 80 snails in the tank. ​Write a function, f(n), to model the number of snails in the tank n years after Mark's visit.

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The snails are increasing exponentially. This requires an exponential growth model.
Such as y = ab^x, where {that is “y = a times b, to the x power”}
a is the initial amount
b is the growth factor
x is the time period

f(n) = 80(3)^n {that is “80 times 3, to the nth power”}
80 is the initial amount
3 indicates they are tripling each year
​n is the number of years after Mark’s visit

For example:
after the first year
= 80(3)^1
= 240

after the second year
= 80(3)²
= 80(9)
= 720

after the third year
= 80(3)³
= 80(27)
= 2160

As you can see, the number of snails is tripling each year.

Here is another example involving exponential growth:

Ask Algebra House
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