3. function f models the population, in thousands, of a city t years after 1930. the average rate of change…

3. function f models the population, in thousands, of a city t years after 1930. the average rate of change of f from t = 0 to t = 70 is approximately 14 thousand people per year. is this value a good way to describe the population change of the city over that time period? explain or show your reasoning.

3. function f models the population, in thousands, of a city t years after 1930. the average rate of change of f from t = 0 to t = 70 is approximately 14 thousand people per year. is this value a good way to describe the population change of the city over that time period? explain or show your reasoning.

Answer

Explanation:

Step1: Recall average rate of change concept

The average rate of change gives an overall trend over an interval.

Step2: Analyze the graph

From the graph, we can see that the population growth is not linear. There are periods of slow - growth and periods of rapid - growth.

Step3: Evaluate the average rate

The average rate of 14 thousand people per year is just an overall average. It doesn't capture the fluctuations in population growth over the 70 - year period. For example, in some years the population might have grown much more or much less than 14 thousand people per year.

Answer:

No, it is not a good way to describe the population change. The population growth is non - linear as seen from the graph, and the average rate of change does not account for the fluctuations in growth over the 70 - year time period.