3 Sam invested in a shares scheme. The value, \(\pounds V\), of Sam's shares was reported \(t\) months after investment.
- Exactly 6 months after investment, the value of Sam's shares was \(\pounds 2375\).
- Exactly 1 year after investment, the value of Sam's shares was \(\pounds 2825\).
- Using a straight-line model, determine an equation for \(V\) in terms of \(t\).
Sam's original investment in the scheme was \(\pounds 1900\).
Explain whether or not this fact supports the use of the straight-line model in part (a).