Question

In 1995 the population of a certain city was 34,000. Since then, the population has been growing at the rate of 4% per year. a) Is this an example of linear or exponential growth? b) Find a function f that computes the population x years after 1995? c) Find the population in 2002

Exponential growth and decay
ANSWERED
asked 2021-01-17
In 1995 the population of a certain city was 34,000. Since then, the population has been growing at the rate of 4% per year.
a) Is this an example of linear or exponential growth?
b) Find a function f that computes the population x years after 1995?
c) Find the population in 2002

Answers (1)

2021-01-18
Given that, the population of certain city was 34,000 in year 1995 and percent growth rate is 4%.
a) In linear growth, we have constant number that the output increase for each increase in input.
while in exponential growth, we have percent rate of change.
In this example, the population is increasing by constant percent rate 4%.
Hence, the example is of exponential growth.
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