if you have 216 people and you bring back 10 every 2 weeks jow long until there all back

Question

if you have 216 people and you bring back 10 every 2 weeks jow long until there all back

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niczorrrr 4 years 2021-08-28T16:25:04+00:00 1 Answers 5 views 0

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  1. thienan
    0
    2021-08-28T16:26:54+00:00
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    Answer:

    302.4 days

    Step-by-step explanation:

    You bring back 10 every 2 weeks, then the rate is:

    R = (10 people)/(2 weeks) = (10/2) people per week = 5 people per week.

    This means that you bring back 5 people per week.

    Now, you have 216 people, and you bring back 5 of them each week, then the amount of people that you have as a function of time, w, in weeks, is:

    P(w) = 216 – 5*w

    You will have them all back when:

    P(w) = 0

    Then we can solve it for w:

    P(w) = 0 = 216 – 5*w

    5*w = 216

    w = 216/5 = 43.2

    the time is 43.2 weeks.

    We could write this in days, because we know that each week has 7 days, then 43.2 weeks is equal to 43.2 times 7 days, this is:

    (43.2)*7 days = 302.4 days

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