Respuesta :
Answer:
[tex] A(t) = 906 e^{0.012t}[/tex]
Where t is the number of months since the population was first recorded. And we want to find the population after 36 months so we need to replace t=36 months into the function and we got:
[tex] A(36) = 906 e^{0.012*36}= 1395.54[/tex]
So then we can conclude that after 36 months the population of mouse is between 1385 and 1396.
Step-by-step explanation:
We know that the population can be represented with this formula:
[tex] A(t) = 906 e^{0.012t}[/tex]
Where t is the number of months since the population was first recorded. And we want to find the population after 36 months so we need to replace t=36 monthsinto the function and we got:
[tex] A(36) = 906 e^{0.012*36}= 1395.54[/tex]
So then we can conclude that after 36 months the population of mouse is between 1385 and 1396.
