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.

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

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.