Mastering Exponential Growth: Graphs & Equations Quiz

A population of bacteria doubles every 3 hours. If there are initially 100 bacteria, how many will there be after 12 hours? Graph the population growth over this time period.

• 2000

• 1600

• 400

• 800

A bank offers an account that compounds interest annually at a rate of 5%. If you deposit $1,000, how much will you have after 5 years? Solve the exponential equation to find the total amount.

• 1102.50

• 1000.00

• 1500.00

• 1276.28

A certain species of fish in a lake is known to triple in population every year. If the current population is 50, what will the population be in 4 years? Graph the population growth.

• 4050

• 2025

• 150

• 1000

A car's value depreciates by 20% each year. If the car is currently worth $15,000, what will its value be after 3 years? Solve the exponential equation to find the value.

• 12000

• 6400

• 9000

• 7680

A viral video is shared by 200 people, and each person shares it with 3 others. How many shares will there be after 4 rounds of sharing? Graph the number of shares over time.

• 30000

• 23700

• 5000

• 15000

A tree grows 1.5 times its height every year. If the tree is currently 2 meters tall, what will its height be after 5 years? Solve the exponential equation to find the height.

• 7.5 meters

• 20 meters

• 15.1875 meters

• 10 meters

A population of rabbits increases by 50% every month. If there are currently 40 rabbits, how many will there be after 6 months? Solve the exponential equation to find the population.

• 600

• 456

• 320

• 200

A smartphone's battery life decreases to 75% of its original capacity every year. If the original capacity is 100 hours, what will the capacity be after 3 years? Graph the battery life over time.

• 50 hours

• 42.19 hours

• 30 hours

• 75 hours

A town's population is 10,000 and is expected to grow by 10% each year. How many people will live in the town after 5 years? Solve the exponential equation to find the future population.

• 12000

• 15000

• 16105

• 20000