Question

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?

Answer 1

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:

`t=2008-1991=17`

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

`n(17)=40e^(0.015\cdot17)=51.618`

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