Which town's population had a greater average rate of change?

Question

Let x represent number of years. The function  $P\left(x\right)=6x^2+6x+700$P(x)=6x2+6x+700​  represents the population of Town A. In year 0, Town B had a population of 500 people. Town B's population increased by 5% each year. From year 5 to year 7, which town's population had a greater average rate of change?

Responses

1. Town A
2. Town B

Question 2

Which town will eventually have a greater population?

Responses

1. Town A
2. Town B

Answer 1

A is {[P(7) - P(5)] / 2}(100) %

B is [[500(1.05)⁷ - 500(1.05)⁵] / 2} (100) %