a videoke machine can be rented for 1000 for three days but for the fourth day onward an additional cast Php 40 per day s added represent th

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a videoke machine can be rented for 1000 for three days but for the fourth day onward an additional cast Php 40 per day s added represent the cast of renting a videoke machine as a piecewise function of the number of days rentin

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Josephine 1 week 2021-09-10T01:18:42+00:00 2 Answers 0 views 0

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    0
    2021-09-10T01:20:24+00:00

    Given : a videoke machine can be rented for 1000 for three days but for the fourth day onward an additional cast Php 40 per day s added

    To Find : represent the cost of renting a videoke machine as a piecewise function of the number of days renting

    Solution:

    d = number of days

    f(d) = cost

    videoke machine can be rented for 1000 for three days

    Rented Days can not be Negative   or zero

    f(d)  = 1000    0 < d  ≤ 3

    for the fourth day onward an additional cast Php 40 per day

    => f(d)  = 1000 + 40(d-3)    3 < d

    => f(d)  = 1000 + 40d  – 120   3 < d

    =>  f(d)  =  4d + 880    3 < d

    Piece wise function

    f(d)  = 1000    0 < d  ≤ 3  

              4d + 880    3 < d

    f(d) = \left \{ {{1000 \quad 0<d\leq3} \atop {4d+800 \quad 3<d}} \right. \\

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    0
    2021-09-10T01:20:39+00:00

    Answer:

          [ 1000 if 0 ≤ x ≤ 3

    f(x)=[

          [1000+400[x-3], if d>3

    Step-by-step explanation:

    .

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