5. A scientist is studying a population of lizards on an island and uses the linear model \(P = a + b t\) to predict the future population of the lizard where \(P\) is the population and \(t\) is the time in years after the start of the study.
Given that
- The number of population was 900 , exactly 5 years after the start of the study.
- The number of population was 1200 , exactly 8 years after the start of the study.
a. find a complete equation for the model.
b. Sketch the graph of the population for the first 10 years.
c. Suggest one criticism of this model.