12 The monthly mean temperature of a city, \(T\) degrees Celsius, may be modelled by the equation
$$T = 15 + 8 \sin ( 30 m - 120 ) ^ { \circ }$$
where \(m\) is the month number, counting January \(= 1\), February \(= 2\), through to December = 12
12
- Using this model, calculate the monthly mean temperature of the city for May, the fifth month.
12 - Using this model, find the month with the highest mean temperature.
12 - Climate change may affect the parameters, 8, 30, 120 and 15, used in this model.
12
- State, with a reason, which parameter would be increased because of an overall rise in temperatures.
[0pt]
[1 mark]
12
- (ii) State, with a reason, which parameter would be increased because of the occurrence of more extreme temperatures.
\section*{END OF SECTION A}