krosini3 krosini3
  • 03-02-2020
  • Mathematics
contestada

A pond started with two bass, but the population tripled every year (t)
Write an equation for this story.

Respuesta :

calculista
calculista calculista
  • 10-02-2020

Answer:

[tex]y=2(3^t)[/tex]

Step-by-step explanation:

In this problem we have a exponential function of the form

[tex]y=a(b^t)[/tex]

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

[tex]a=2[/tex]

[tex]r=200\%=200/100=2[/tex]

so

[tex]b=(1+2)=3[/tex]

substitute

[tex]y=2(3^t)[/tex]

Is a exponential growth function

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