The population of a City The graph shows the population of a city from 1900 to 2000.

1.What is the average rate of change of the population between 1930 and 1950? Show your reasoning.

2. For each interval, decide if the average rate of change is positive or negative.

a. from 1930 to 1940

b. from 1950 to 1970

c. from 1930 to 1970

3. In which decade (10-year interval) did the population grow the fastest? Explain how you know.

help!

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?