Precalculous equation

Question

The equation N(t)=450/1+49e−0.7t models the number of people in a town who have heard a rumor after t days. As t increases without bound, what value does N(t) approach? Interpret your answer.

Answer 1

I'm assuming the equation looks like this N(t)= 450/(1+49e^-0.7t) if this were the case then we can solve it two ways

1. the first is by graphing it and looking at where the graph will level out.
2. Is by solving by assuming infinity time as gone by. We would have
3. N(infinity)=450/(1+49e^-infinity) (anything to the -infinity power = 0)
4. N(infinity)=450/(1+49*0)
5. N(infinity)=450/1
6. 450