- The share price of a company is monitored.
Exactly 3 years after monitoring began, the share price was \(\pounds 1.05\)
Exactly 5 years after monitoring began, the share price was \(\pounds 1.65\)
The share price, \(\pounds V\), of the company is modelled by the equation
$$V = p t + q$$
where \(t\) is the number of years after monitoring began and \(p\) and \(q\) are constants.
- Find the value of \(p\) and the value of \(q\).
Exactly \(T\) years after monitoring began, the share price was \(\pounds 2.50\)
- Find the value of \(T\), according to the model, giving your answer to one decimal place.