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Math Applications SL Paper 1 (November 2024, TZ2)

  1. [Maximum mark: 7]
    The total cost, C(d), in Canadian dollars (CAD), to hire a bicycle for d days from Pedal Paradise is given by the function
    C(d) = 60d + 10, d ≥ 3, d ∈ ℤ.
    The total cost includes a fixed charge to hire both a helmet and a repair kit.

(a) State, in context, what the values 60 and 10 represent. [2]

(b) Calculate the cost of hiring a bicycle for 5 days. [2]

Hema hires a bicycle from Pedal Paradise.

(c) Write down the minimum number of days she can hire the bicycle. [1]

(d) Given that C⁻¹(1270) = k, find the value of k. [2]