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Date November 2020 Marks available 1 Reference code 20N.1.SL.TZ0.T_2
Level Standard Level Paper Paper 1 (with calculator from previous syllabus) Time zone Time zone 0
Command term State Question number T_2 Adapted from N/A

Question

Olava’s Pizza Company supplies and delivers large cheese pizzas.

The total cost to the customer, C, in Papua New Guinean Kina (PGK), is modelled by the function

Cn=34.50n+8.50, n2, n,

where n, is the number of large cheese pizzas ordered. This total cost includes a fixed cost for delivery.

State, in the context of the question, what the value of 34.50 represents.

[1]
a.i.

State, in the context of the question, what the value of 8.50 represents.

[1]
a.ii.

Write down the minimum number of pizzas that can be ordered.

[1]
b.

Kaelani has 450 PGK.

Find the maximum number of large cheese pizzas that Kaelani can order from Olava’s Pizza Company.

[3]
c.

Markscheme

the cost of each (large cheese) pizza / a pizza / one pizza / per pizza       (A1)   (C1)

Note: Award (A0) for “the cost of (large cheese) pizzas”. Do not accept “the minimum cost of a pizza”.


[1 mark]

a.i.

the (fixed) delivery cost      (A1)   (C1)

[1 mark]

a.ii.

2     (A1)   (C1)

[1 mark]

b.

450=34.50n+8.50        (M1)

Note: Award (M1) for equating the cost equation to 450 (may be stated as an inequality).


12.8  12.7971      (A1)

12      (A1)(ft)   (C3)


Note:
The final answer must be an integer.
The final (A1)(ft) is awarded for rounding their answer down to a whole number, provided their unrounded answer is seen.


[3 marks]

c.

Examiners report

[N/A]
a.i.
[N/A]
a.ii.
[N/A]
b.
[N/A]
c.

Syllabus sections

Topic 2—Functions » SL 2.2—Functions, notation domain, range and inverse as reflection
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Topic 2—Functions

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