Date | May 2014 | Marks available | 1 | Reference code | 14M.2.sl.TZ2.3 |
Level | SL only | Paper | 2 | Time zone | TZ2 |
Command term | Explain | Question number | 3 | Adapted from | N/A |
Question
The following table shows the amount of fuel (y litres) used by a car to travel certain distances (x km).
Distance (x km) | 40 | 75 | 120 | 150 | 195 |
Amount of fuel (y litres) | 3.6 | 6.5 | 9.9 | 13.1 | 16.2 |
This data can be modelled by the regression line with equation y=ax+b.
Write down the value of a and of b.
Explain what the gradient a represents.
Use the model to estimate the amount of fuel the car would use if it is driven 110 km.
Markscheme
a=0.0823604, b=0.306186
a=0.0824, b=0.306 A1A1 N2
[2 marks]
correct explanation with reference to number of litres
required for 1 km A1 N1
eg a represents the (average) amount of fuel (litres) required to drive 1 km, (average) litres per kilometre, (average) rate of change in fuel used for each km travelled
[1 marks]
valid approach (M1)
eg y=0.0824(110)+0.306, sketch
9.36583
9.37 (litres) A1 N2
[2 marks]