To find: The average rate of change of population between and from the given graph.
The average rate of change of population between and is 0 person/year.
Average rate of change of function between and is as follows,
The given graph shows the population P in a small industrial city from 1950 to 2000.
From the given graph the corresponding value of is 40 and for is 40.
Substitute 40 for , 40 for , 20 for a and 40 for b in equation (1).
Therefore, average rate of change of P between and is 0 person/year.
To evaluate: The interpretation of average rate of change in part (a).
Total population increased is equal to the total population decreased during the interval 1970 to 1990.
From part (a), the average rate of change of P between and is 0 Person/year
It means during the interval of 20 years that is from 1970 to 1990 the total number of population increased is equal to the total number of population decreased.
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