Question

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 1

For this case we have an equation of the form:
 f (n) = A * (b) ^ n
 Where,
 A: initial amount
 b: growth rate
 n: number of years
 Substituting values we have:
 f (n) = 80 * (3) ^ n
 Answer:
 a function f (n) to model the number of snails in the tank n years after mark's visit is:
 f (n) = 80 * (3) ^ n

Answer 2

The function f(n) to model the number of snails in the tank n years after mark's visit is $\rm f(n) = 80 \times 3^n$.

Given that

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.

We have to determine

The function f(n) to model the number of snails in the tank n years after mark's visit.

According to the question

The equation is in the form of;

$\rm f (n) = ab^t$

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

And t represents the tripling time.

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.

Then,

$\rm f (n) = ab^t\\ \\ f(n) = 80 \times 3^n$

Hence, The function f(n) to model the number of snails in the tank n years after mark's visit is $\rm f(n) = 80 \times 3^n$.

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