The number of people in a town of 10,000 who have heard a rumor started by a small group of people is given by the following function: N(t)=10,000/5+1245e^-.97t

a. How many people were in the group that started the rumor?

b. How many people have heard the rumor after 1 day? After 5 days?

c. How long will it be until 1,000 of the people in the town have heard the rumor?

Question

The number of people in a town of 10,000 who have heard a rumor started by a small group of people is given by the following function: N(t)=10,000/5+1245e^-.97t


a. How many people were in the group that started the rumor?


b. How many people have heard the rumor after 1 day? After 5 days?


c.	How long will it be until 1,000 of the people in the town have heard the rumor?

anonymous · Answer

@satellite73 could you possibly help me with this one as well?

anonymous · Answer

i should make a template for this, because it is maybe the 8th time i have seen this exact same question 
they really stretch for these word problems, don't they ?
what book does it come from ?

anonymous · Answer

they do, i'm not sure its from a test study guide

anonymous · Answer

i will help, but i am almost certain you can do this

first one
replace $t$ by $0$ and get 
$$\frac{10,000}{5+1245}$$

anonymous · Answer

second one, find $N(1)$ and $N(5)$ by replacing $t$ by $1$ and $5$ respectively, use a calculator

anonymous · Answer

so the answer to a is 8?

anonymous · Answer

only the third one requires real work

anonymous · Answer

yeah, 8

anonymous · Answer

thanks

anonymous · Answer

what would i do for b?

anonymous · Answer

replace $t$ by $1$

anonymous · Answer

then replace $t$ by $5$
you need a calculator

anonymous · Answer

in what equation?

anonymous · Answer

@satellite73

anonymous · Answer

is this correct? 2009.7463 @satellite73