A small town's population has growing at a rate of 6% per year. The initial population of the town was 4,600. A nearby town had an initial population of 10, 300 people but is declining at a rate of 4% per year.

a. Write two equations to model the population of each town. Let Pa represents the first town's population and t represents years. Let Pb represents the second town's population and t represents years.

b. Use your equation to predict the number of years when the two towns will have the same population. About how many people will be in each town at that time? (Point of intersection)​