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 inc

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.

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Mary 1 month 2021-10-14T19:50:03+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-14T19:51:16+00:00

    Answer:

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

    Step-by-step 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.

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45:7+7-4:2-5:5*4+35:2 =? ( )