- In a simple model, the value, \(\pounds V\), of a car depends on its age, \(t\), in years.
The following information is available for \(\operatorname { car } A\)
- its value when new is \(\pounds 20000\)
- its value after one year is \(\pounds 16000\)
- Use an exponential model to form, for car \(A\), a possible equation linking \(V\) with \(t\).
The value of car \(A\) is monitored over a 10-year period.
Its value after 10 years is \(\pounds 2000\)
Evaluate the reliability of your model in light of this information.
The following information is available for car \(B\)
- it has the same value, when new, as car \(A\)
- its value depreciates more slowly than that of \(\operatorname { car } A\)
- Explain how you would adapt the equation found in (a) so that it could be used to model the value of car \(B\).