Question

A pond started with two bass, but the population tripled every year (t)

Write an equation for this story.

Answer 1

`y=2(3^t)`

Explanation:

In this problem we have a exponential function of the form

`y=a(b^t)`

where

y---> is the population of bass

t ----> the number of years

a is the initial value or y-intercept

b is the base of the exponential function

r is the rate of change

b=(1+r)

we have

`a=2`

`r=200\%=200/100=2`

so

`b=(1+2)=3`

substitute

`y=2(3^t)`

Is a exponential growth function