Graphing and Solving Exponential Growth Problems

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

• 4000

• 6000

• 10000

• 8000

A car's value decreases exponentially. If a car is worth $20,000 and loses 15% of its value each year, what will its value be after 5 years? Solve the equation to find the value.

• 12000.00

• 10000.00

• 8874.00

• 15000.00

A bank offers an account with an annual interest rate of 5% compounded annually. If you deposit $1,000, how much will you have in the account after 10 years? Graph the growth of your investment over time.

• $1,200.00

• $2,000.00

• $1,628.89

• $1,500.50

A certain radioactive substance has a half-life of 10 years. If you start with 80 grams, how much will remain after 30 years? Solve the exponential decay equation to find the answer.

• 10 grams

• 40 grams

• 5 grams

• 20 grams

The number of views on a viral video increases exponentially. If it starts with 1,000 views and triples every week, how many views will it have after 4 weeks? Graph the growth of views over time.

• 10,000 views

• 81,000 views

• 30,000 views

• 50,000 views

A tree grows at an exponential rate. If it is currently 2 meters tall and grows to 8 meters in 5 years, what is the growth rate? Solve the exponential growth equation to find the rate.

• 0.2773

• 0.5

• 0.75

• 0.125

A certain investment grows according to the formula A = P(1 + r)^t. If you invest $2,000 at an interest rate of 4% for 6 years, how much will you have? Solve the equation to find the total amount.

• 2530.64

• 3000.00

• 2400.00

• 2800.50

A population of fish in a lake is modeled by the equation P(t) = 200e^(0.3t), where t is in years. How many fish will there be after 5 years? Graph the population over time.

• 896

• 500

• 750

• 1200

A smartphone's battery life decreases exponentially. If it starts at 100% and loses 20% of its charge every hour, what will the battery percentage be after 3 hours? Solve the equation to find the percentage.

• 51.2%

• 60%

• 40%

• 75%

A certain species of plant grows exponentially. If it starts with 50 plants and doubles every month, how many plants will there be after 6 months? Graph the growth of the plant population over time.

• 3200

• 800

• 640

• 1500