© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity What’s it worth? © Rudolf...
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Transcript of © Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity What’s it worth? © Rudolf...
© Nuffield Foundation 2011
Nuffield Free-Standing Mathematics Activity
What’s it worth?
© Rudolf Stricker
© Nuffield Foundation 2010
What’s it worth?
What does ‘depreciation’ mean?
At what age does a car lose its value most quickly?
What shape would you expect a graph of value against age to be?
© Nuffield Foundation 2010
What’s it worth?Depreciation in value of a Toyota Aygo hatchback
Age (t years)
Value of car (£V)
0 8995
1 7195
2 6640
3 5905
4 5350
5 5190
6 4520
© Nuffield Foundation 2010
What’s it worth?
The rate of depreciation is equal to the gradient of the curve.
Is the gradient positive or negative?
When is the rate of depreciation greatest?
When is it least?
© Nuffield Foundation 2010
What’s it worth?
Model AThe value of the car depreciates at a constant rate.
Model BThe rate of depreciation is proportional to the age of the car.
Model CThe rate of depreciation is proportional to the value of the car.
Model DThe rate of depreciation is inversely proportional to the age of the car.
Think about….Which of these do you think are likely to be good models?
© Nuffield Foundation 2010
Model EThe rate of depreciation is inversely proportional to the square root of the age of the car.
Model FThe rate of depreciation is inversely proportional to the value of the car.
Model GThe rate of depreciation is proportional to the square of the value of the car.
Model HThe rate of depreciation is proportional to the square root of the value of the car.
Think about….Which of these do you think are likely to be good models?