Exponential Growth: Graphing & Solving Equations

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 12 hours? Graph the growth of the bacteria over this time period.

• 4000

• 6000

• 8000

• 10000

A car's value decreases 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.

• $10,000

• $12,000

• $5,000

• $7,680

A tree grows at a rate of 5% per year. If the tree is currently 2 meters tall, how tall will it be after 5 years? Graph the height of the tree over this period.

• 2.55 meters

• 3.00 meters

• 4.50 meters

• 6.25 meters

A bank account earns 4% interest compounded annually. If you deposit $1,000, how much will be in the account after 10 years? Solve the exponential equation to find the total amount.

• 1350.50

• 1600.00

• 1200.00

• 1480.24

A certain species of fish in a lake grows exponentially. If the population is currently 200 and grows by 50% each year, what will the population be in 4 years? Graph the population growth over this time.

• 1013

• 600

• 800

• 1200

A smartphone's battery life decreases exponentially. If it lasts 24 hours when fully charged, how long will it last after 3 cycles of use if it retains 80% of its charge each time? Solve the exponential equation to find the battery life.

• 10 hours

• 12.288 hours

• 15.5 hours

• 20 hours

A viral video is shared exponentially. If it starts with 100 views and doubles every day, how many views will it have after 7 days? Graph the number of views over the week.

• 12800

• 25600

• 3200

• 6400

A certain investment grows at a rate of 6% per year. If you invest $2,000, how much will it be worth after 5 years? Solve the exponential equation to determine the final amount.

• 3000.00

• 2500.00

• 2676.45

• 2200.00

A population of rabbits increases by 30% each month. If there are currently 150 rabbits, how many will there be after 6 months? Graph the population growth over this time.

• 700

• 557

• 300

• 450

A certain type of mold grows exponentially. If it starts with 10 grams and doubles every 4 days, how much will there be after 16 days? Solve the exponential equation to find the total weight of the mold.

• 80 grams

• 160 grams

• 200 grams

• 120 grams