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.

Answer: f (n) = 80 (3) ^n

Step-by-step explanation:

We would apply the formula,

y = ab^t

Where

a represents the initial population of the snail inside the aquarium.

t represents the tripling time.

From the information given

a = 80

t = 1 year

Since after 1 year, the amount of snail in the aquarium increases by 3, then

y = 3 * 80 = 240

Therefore

240 = 80 * b^1

Dividing through by 80, it becomes

3 = b^1

b = 3

The equation becomes

y = 80 (3) ^t

Where y = f (n) and t = n, the function to model the number of snails in the tank n years after mark's visit is

f (n) = 80 (3) ^n