Based on the owner’s claim, calculate the total attendance for the games at Peterson United’s home stadium last year.

Calculate the percentage error in the owner’s claim.

Write down your answer to part (b) in the form a × 10^k where 1 ≤ a < 10, \(k \in \mathbb{Z}\).

24500 × 25   (M1)

Note: Award (M1) for multiplying 24500 by 25.

= 613000  (612500)   (A1) (C2)

[2 marks]

\(\left| {\frac{{612500 - 617700}}{{617700}}} \right| \times 100\)    (M1)

Note: Award (M1) for correct substitution into the percentage error formula.

= 0.842  (0.841832)    (A1)(ft)  (C2)

Note: Follow through from part (a).

[2 marks]

8.42 × 10⁻¹    (A1)(ft)(A1)(ft) (C2)

Note: Award (A0)(A0) for answers of the type 84.2 × 10⁻². Follow through from part (b). Ignore ‘%’ sign.

[2 marks]