Problema Solution

The rat population in a major city is given by the formula n(t)=47e^0.035t where t is measured in years since 1994 and n(t) is measured in millions.

What was the rat population in 1994?

What will it be in the year 2009?

Answer provided by our tutors

For the year of 1994 we have:

t = 0 years

n(0) = 47(e^0.035*0)

n(0) = 47 millions

The rat population in the year of 1994 was 47 millions.

For the year of 2009 we have:

t = 2009 - 1994

t = 15 years

n(15) = 47(e^0.035*15)

n(15) = 79.45 millions

The rat population in the year of 2009 was 79.45 millions.