Question

An archeologist used the functions below to model the changing populations of two ancient cities as they grew in size. Compare the populations by finding and interpreting the average rates of change over the interval [0,40].

Answer 1

The answer is "6.3 and 5.25"

Explanation:

Please find the complete question in the attached file.

Throghout the question the calculated points are:

`(0,0) , \ \ (40,252) \\(0,0) , \ \ (40,210) \\`

Formula for Calculating slope:

`M=(y_2-y_1)/(x_2-x_1)`

For First point slope:

`M=(252-0)/(40-0)=(252)/(40)= 6.3 \ (people)/(mi^2)`

For second point slope:
`M=(210-0)/(40-0)=(210)/(40)=(21)/(4)= 5.25 \ (people)/(mi^2)`