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
