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  • Perplex
    IB Math AIHL
    /
    Approximations & Error
    /

    Problem Bank

    [Maximum mark: 5]

    A solar farm records its power output (in kilowatt-hours) once every hour from 10 a.m. to 2 p.m. The data are shown below, where ​t​ is hours after 10 a.m. and ​P(t)​ is the power generated in that hour.

    ​t​ (h)

    0

    1

    2

    3

    4

    ​P(t)​ (kWh)

    52

    68

    85

    95

    78

    1. Use the trapezoidal rule with an interval width of ​1​ to estimate the total energy generated between 10 a.m. and 2 p.m..

      [3]

      To earn a crown, get your answer ready before you reveal the options!

    A high-precision meter later shows the true total was ​325​ kWh.

    1. Calculate the percentage error of your estimate from part (a).

      [2]

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