Modeling Exponential Growth in Populations: A Quiz

A small town has a population of 5,000 people. If the population grows by 3% each year, what will the population be after 5 years?

• 5796

• 6200

• 6000

• 5500

A bacteria culture starts with 200 bacteria and doubles every 4 hours. How many bacteria will there be after 24 hours?

• 12800

• 3200

• 25600

• 6400

A city has a population of 150,000 and is expected to grow at a rate of 2.5% per year. Write an equation to model the population after t years and find the population after 10 years.

• Approximately 160,000

• Approximately 180,000

• Approximately 194,610

• Approximately 210,000

A certain species of fish in a lake is currently at 1,000. If the population increases by 50% each year, how many fish will there be after 3 years?

• 3375

• 2000

• 1500

• 2500

A town's population is modeled by the equation P(t) = 3000e^(0.04t), where t is the number of years since 2000. What will the population be in 2025?

• 8159

• 10000

• 9000

• 7500

A new species of plant is introduced to a park, starting with 100 plants. If the population grows exponentially at a rate of 20% per year, how many plants will there be after 6 years?

• 250

• 400

• 332

• 150

A certain animal population is decreasing at a rate of 10% per year. If the current population is 800, how many animals will be left after 4 years?

• 700

• 450

• 524

• 600

A research study shows that a specific virus spreads exponentially. If there are currently 50 infected individuals and the number of infections doubles every week, how many will be infected after 3 weeks?

• 400

• 800

• 600

• 200

A town's population is projected to reach 20,000 in 10 years. If the current population is 12,000, what is the annual growth rate?

• 5.00%

• 10.25%

• 12.50%

• 8.62%

A wildlife reserve has a population of 2,500 deer, which increases by 15% each year. How many deer will there be in 5 years?

• 4500

• 6000

• 3500

• 5028