Question

Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive the email increases by a factor of

4


44 every


9.1


9.19, point, 1 weeks, and can be modeled by a function,


P


PP, which depends on the amount of time,


t


tt (in weeks).


Tobias initially sent the chain letter to


37


3737 friends.

Answer 1

Explanation:

Answer 2

`P(t)=37\cdot 4^(t/9.1)`

Explanation:

The number of people who receive the email increases by a factor of 4 every 9.1 weeks.

This is an exponential growth of the form:

`A=A_o(r)^(t/k)`

Where:

`A_o =$Initial value\\r=Growth rate\\k=Growth Period\\t=time`

In this case:

`A_o =37\\r=4\\k=9.1\:weeks`

Therefore at any time t, the function describing this scenario is:

`P(t)=37\cdot 4^(t/9.1)` where t is in weeks.