Modeling and Solving Exponential Population Growth

A small town has a population of 1,000 people. If the population grows by 5% each year, what will the population be after 3 years?

• 1200

• 1100

• 1000

• 1158

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

• 4000

• 3200

• 2400

• 1600

A city has a population of 50,000 and is expected to grow at a rate of 3% per year. Write an equation to model the population after t years and find the population after 5 years.

• 50000

• 57964

• 55000

• 60000

A certain species of fish in a lake is increasing exponentially. If there are currently 300 fish and the population triples every year, how many fish will there be after 2 years?

• 1500

• 900

• 2700

• 1200

A town's population is modeled by the equation P(t) = 1500e^(0.04t), where t is the number of years since 2010. What will the population be in 2025?

• 2500

• 2733

• 3000

• 3200

A wildlife reserve has 1,200 deer, and the population increases by 10% each year. How many deer will there be in 4 years?

• 1800

• 2000

• 1757

• 1500

A certain plant species grows exponentially. If there are 500 plants now and the population increases by 25% each month, how many plants will there be in 6 months?

• 1526

• 1800

• 1200

• 600

A population of rabbits is modeled by the equation P(t) = 200e^(0.1t). How many rabbits will there be after 10 years?

• 450

• 300

• 544

• 600

A town's population is currently 8,000 and is projected to grow by 4% annually. Write an exponential equation to represent this growth and calculate the population after 7 years.

• 15000

• 9000

• 10529

• 12000

A certain type of tree in a forest has a population of 1,000 and grows at a rate of 15% per year. How many trees will there be after 5 years?

• 2011

• 2500

• 1800

• 1500