Question

P1: The following table shows the temperature (T) in a town, measured hours (h) after midnight. Hours after midnight | Temperature T(°C) ---|--- 0 | 8 5 | 11 10 | 12.5 15 | 12 20 | 9.5 24 | 2 It is suggested that T and h are connected by the relationship T = ah² + bh + c, where a, b and c are constants. a Determine the values of a, b and c. (4 marks) b Find an expression for dT/dh. (2 marks) c Use your expression for dT/dh to determine at what time during the day the temperature is at its highest. (2 marks) d Referring to your answer to part c, suggest one reason why a quadratic model may not be accurate in this instance. (1 mark)

          P1: The following table shows the temperature (T) in a town, measured hours (h) after midnight.

Hours after midnight | Temperature T(°C)
---|---
0 | 8
5 | 11
10 | 12.5
15 | 12
20 | 9.5
24 | 2

It is suggested that T and h are connected by the relationship T = ah² + bh + c, where a, b and c are constants.

a Determine the values of a, b and c. (4 marks)

b Find an expression for dT/dh. (2 marks)

c Use your expression for dT/dh to determine at what time during the day the temperature is at its highest. (2 marks)

d Referring to your answer to part c, suggest one reason why a quadratic model may not be accurate in this instance. (1 mark)

P1: The following table shows the temperature (T) in a town, measured hours (h) after midnight.

Hours after midnight | Temperature T(°C)
—|—
0 | 8
5 | 11
10 | 12.5
15 | 12
20 | 9.5
24 | 2

It is suggested that T and h are connected by the relationship T = ah² + bh + c, where a, b and c are constants.

a Determine the values of a, b and c. (4 marks)

b Find an expression for dT/dh. (2 marks)

c Use your expression for dT/dh to determine at what time during the day the temperature is at its highest. (2 marks)

d Referring to your answer to part c, suggest one reason why a quadratic model may not be accurate in this instance. (1 mark)

Added by Daniel L.

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