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Linda owns a field, represented by the shaded region R. The plan view of the field is shown in the following diagram, where both axes represent distance and are measured in metres.

The segments [AB], [CD] and [AD] respectively represent the western, eastern and southern boundaries of the field. The function, f(x), models the northern boundary of the field between points B and C and is given by

f(x)=\frac{-x^{2}}{50}+2 x+30, \text { for } 0 \leq x \leq 70

Calculate the percentage error in Linda's estimate.

$\frac{11.4}{4713.33 \ldots} \times 100 \%$ OR $\left|\frac{4701.93 \ldots-4713.33 \ldots}{4713.33 \ldots}\right| \times 100 \% \quad$ (M1)

Note: Award (M1) for their correct substitution into the percentage error formula.
$0.242 \%(0.241867 \ldots \%)$ A1
Note: Percentage sign is required. Accept $0.242038 \ldots \%$ if 4710 is used.

IB Maths AI HL Sl 1 6 Approximation and Error Topic Practice

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IB Maths AI HL Sl 1 6 Approximation and Error Topic Practice

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Question 1