Exponential Growth Worksheet



Exponential Growth Worksheet

Use the “Rule of 70” to solve the following problems.

To earn full credit, on a separate sheet of paper, for each problem, show all work in a logical and organized sequence, which results in the answer, and enclose each answer in a box.

1. In 2004, the population of mice in Upper Fremont is 200,000 and growing at a rate of 2% each year.

a. If the rate of population growth remains constant, calculate the mouse population in 2039. 400,000

b. If the rate of population growth remains constant, calculate the mouse population in 2074. 800,000

2. The population of starlings in Lower Fremont was 20,000 in 1962. In 2004 the population is 160,000. Calculate the percentage rate of starling population growth in Lower Fremont since 1962. 5%

3. The population of rabbits in East Fremont is 250 in September of 2004, and growing at a rate of 3.5% each month.

a. If the rate of population growth remains constant, determine the month and year in which the rabbit population will double. May 2006

b. If the rate of population growth remains constant, determine the month and year in which the rabbit population will reach 128,000. September 2019

4. In 2004, the population of butterflies in West Fremont is 60,000, and growing at a rate of 1.4% each year.

a. If the rate of population growth remains constant, determine the year in which the population will double. 2054

b. If the rate of population growth remains constant, determine the year in which the population will reach 240,000. 2104

5. A culture of bacteria is growing at a constant rate of 5% an hour. If the culture started with 3000 bacteria at 6:00 a.m. on Tuesday, calculate the approximate time that the bacteria population will reach 72,000. 2:01 p.m. Thursday–3:59 a.m. Friday

Exponential Growth Worksheet

Use the “Rule of 70” to solve the following problems.

To earn full credit, on a separate sheet of paper, for each problem, show all work in a logical and organized sequence, which results in the answer, and enclose each answer in a box.

1. In 2004, the population of mice in Upper Fremont is 200,000 and growing at a rate of 2% each year.

a. If the rate of population growth remains constant, calculate the mouse population in 2039.

b. If the rate of population growth remains constant, calculate the mouse population in 2074.

2. The population of starlings in Lower Fremont was 20,000 in 1962. In 2004 the population is 160,000. Calculate the percentage rate of starling population growth in Lower Fremont since 1962.

3. The population of rabbits in East Fremont is 250 in September of 2004, and growing at a rate of 3.5% each month.

c. If the rate of population growth remains constant, determine the month and year in which the rabbit population will double.

d. If the rate of population growth remains constant, determine the month and year in which the rabbit population will reach 128,000.

4. In 2004, the population of butterflies in West Fremont is 60,000, and growing at a rate of 1.4% each year.

e. If the rate of population growth remains constant, determine the year in which the population will double.

f. If the rate of population growth remains constant, determine the year in which the population will reach 240,000.

5. A culture of bacteria is growing at a constant rate of 5% an hour. If the culture started with 3000 bacteria at 6:00 a.m. on Tuesday, calculate the approximate time that the bacteria population will reach 72,000.

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