Exploring Exponential Growth Rates in Populations

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?

• 5500

• 6000

• 5796

• 6200

A certain species of fish in a lake doubles its population every 2 years. If there are currently 200 fish, how many will there be after 6 years?

• 1600

• 1200

• 400

• 800

A city has a population of 150,000 and is growing at a rate of 4% per year. Write the exponential function that models the population after t years and calculate the population after 10 years.

• 180000

• 200000

• 250000

• 223774

A bacteria culture starts with 1,000 bacteria and grows exponentially at a rate of 5% per hour. How many bacteria will there be after 3 hours?

• 1162

• 1500

• 1000

• 1300

A wildlife reserve has 1,200 deer, and the population increases by 6% annually. How many deer will be in the reserve after 4 years?

• 1350

• 1600

• 1200

• 1515

A town's population is projected to grow from 20,000 to 30,000 in 10 years. What is the average annual growth rate?

• 3%

• 10%

• 7%

• 5%

If a certain city has a population of 80,000 and is expected to grow to 100,000 in 5 years, what exponential growth model can be used to represent this situation?

• P(t) = 80000 * e^(r*t) where P(5) = 100000

• P(t) = 80000 * (1 + r)^t

• P(t) = 100000 - 20000e^(-rt)

• P(t) = 80000 + 20000t

A certain plant species in a greenhouse grows at a rate of 10% per month. If there are currently 500 plants, how many will there be after 6 months?

• 886

• 1000

• 750

• 600

A population of rabbits is increasing exponentially. If there are currently 300 rabbits and the population triples every 4 years, how many rabbits will there be in 12 years?

• 6000

• 1200

• 8100

• 900

A town's population is currently 10,000 and is expected to grow to 15,000 in 8 years. What is the annual growth rate of the population?

• 10.00%

• 5.00%

• 25.00%

• 16.99%