# population question

• Feb 5th 2008, 03:00 PM
killasnake
population question
The rat population in a major metropolitan city is given by the formula n(t)=63e^0.035t where t is measured in years since 1993 and n(t) is measured in millions.

What was the rat population in 1993 ?______

What is the rat population going to be in the year 2008 ? ________

I'm just plugging the years into t correct? :confused:
• Feb 5th 2008, 03:03 PM
Jhevon
Quote:

Originally Posted by killasnake
The rat population in a major metropolitan city is given by the formula n(t)=63e^0.035t where t is measured in years since 1993 and n(t) is measured in millions.

What was the rat population in 1993 ?______

What is the rat population going to be in the year 2008 ? ________

I'm just plugging the years into t correct? :confused:

by rate they mean they want you to find \$\displaystyle n'(t) = rn(t)\$

you know r = 0.035

so you have \$\displaystyle n'(t) = 0.035n(t)\$

the questions are asking for \$\displaystyle n'(0) \mbox { and } n'(15)\$ respectively