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Date November 2017 Marks available 1 Reference code 17N.1.SL.TZ0.T_12
Level Standard Level Paper Paper 1 Time zone Time zone 0
Command term Write down Question number T_12 Adapted from N/A

Question

Sejah placed a baking tin, that contained cake mix, in a preheated oven in order to bake a cake. The temperature in the centre of the cake mix, T , in degrees Celsius (°C) is given by

T ( t ) = 150 a × ( 1.1 ) t

where t is the time, in minutes, since the baking tin was placed in the oven. The graph of T is shown in the following diagram.

N17/5/MATSD/SP1/ENG/TZ0/12

The temperature in the centre of the cake mix was 18 °C when placed in the oven.

The baking tin is removed from the oven 15 minutes after the temperature in the centre of the cake mix has reached 130 °C.

Write down what the value of 150 represents in the context of the question.

[1]
a.

Find the value of a .

[2]
b.

Find the total time that the baking tin is in the oven.

[3]
c.

Markscheme

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

the temperature in the oven     (A1)

OR

the maximum possible temperature of the cake mix     (A1)     (C1)

 

Note:     Award (A0) for “the maximum temperature”.

 

[1 mark]

a.

18 = 150 a ( × 1.1 )     (M1)

 

Note:     Award (M1) for correct substitution of 18 and 0. Substitution of 0 can be implied.

 

( a ) = 132     (A1)     (C2)

[2 marks]

b.

150 132 × 1.1 t = 130     (M1)

 

Note:     Award (M1) for substituting their a and equating to 130. Accept an inequality.

Award (M1) for a sketch of the horizontal line on the graph.

 

t = 19.8   ( 19.7992 )     (A1)(ft)

 

Note:     Follow through from part (b).

 

34.8 (minutes) (34.7992…, 34 minutes 48 seconds)     (A1)(ft)     (C3)

 

Note:     Award the final (A1) for adding 15 minutes to their t value.

In part (c), award (C2) for a final answer of 19.8 with no working.

 

[3 marks]

c.

Examiners report

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

Syllabus sections

Topic 2—Functions » SL 2.5—Modelling functions
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Topic 2—Functions

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