A city that had 7500 thousand people at the beginning of the year 2000 has been decreasing by 3.6% per year. a. What is the 1-ye
ar percent change in the city's population.b. Whenever 1 year passes, the population becomes what percent of its previous value? (That is, the "new" population is what percent of the "old" population whenever 1 year passes?) c. What is the 1-year growth factor for the population of the city? d. Write a function g that determines the population of the city (in thousands of people) in terms of the number of years t since the beginning of 2000.
a) if the population at the beginning of the year 2000 was 7500 people,
The 1-year percent change in the city's population would be
3.6/100 × 7500 = 270
b) The population after 1 year is
7500 - 270 = 7230
The percentage of the previous value of the population to its new value for each year is
7230/7500 × 100 = 96.4%
c) the 1-year growth factor for the population of the city would be
(1 - 0.036)^1 = 0.964
d) the function, g that determines the population of the city (in thousands of people) in terms of the number of years t since the beginning of 2000 would be
