The rat population in major metropolitan city is given by the formula n(t)=40e^0.015t where t is measured in years since 1991 and n(t) is measured in millions. What does the model predict the rat population was in the year 2008?

Respuesta :

To use the model we need to find the value of t. To do this we substract the year we want to know from the year the model began, then:

[tex]t=2008-1991=17[/tex]

Now that we have t we plug it in the function:

[tex]n(17)=40e^{0.015\cdot17}=51.618[/tex]

Therefore the model predict that there were 51.618 millions of rats in 2008.

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