POPULATION GROWTH AND DECAY WORD PROBLEMS

Write an exponential function to model each situation. Find each amount at the end of the specified time. Round your answers to the nearest whole number.

Problem 1 :

A town with a population of 5,000 grows 3% per year. Find the population at the end of 10 years.

Solution

Problem 2 :

The population of Boomtown is 475,000 and is increasing at a rate of 3.75% each year. When will the population exceed 1 million people (to the nearest year)?        Solution

Problem 3 :

The population of Leave town is 123,000 and is decreasing at a rate of 2.375% each year.

• When will the population of Leave town drop below 50,000 (to the nearest year)?

• What will the population of Leave town be 100 years from now?

Solution

Problem 4 :

Problem The 1989 population of Mexico was estimated at 87,000,000. The annual growth rate is 2.4%. When will the population reach 100,000,000 (to the nearest year)?

Solution

Problem 5 :

The population of Small town in the year 1890 was 6,250. Since then, it has increased at a rate of 3.75% each year.

a) What was the population of Small town in the year 1915?

a) In 1940?

c) What will the population of Small town be in the year 2003?

d) When will the population reach 1,000,000 (to the nearest year)?                    Solution