Mastering Exponential Functions: 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 exponential growth of the bacteria over time.

• 10000

• 6000

• 8000

• 4000

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.

• $7,680

• $5,000

• $10,000

• $12,000

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

• $1,200.00

• $1,500.00

• $1,276.28

• $1,000.00

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

• 40 grams

• 5 grams

• 10 grams

• 20 grams

A certain species of fish in a lake is known to grow exponentially. If the current population is 200 and it grows by 50% each year, how many fish will there be in 4 years? Graph the population growth over the years.

• 1013

• 600

• 800

• 1200

A smartphone's battery life decreases exponentially. If it starts at 100% and loses 10% of its charge every hour, what will the battery percentage be after 5 hours? Solve the exponential equation to find the percentage.

• 59.05%

• 70.00%

• 45.50%

• 80.25%

A tree grows at a rate of 25% per year. If the tree is currently 2 meters tall, how tall will it be after 3 years? Graph the height of the tree over the years.

• 3.91 meters

• 5.25 meters

• 4.00 meters

• 2.50 meters

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

• $2400.00

• $2524.95

• $3000.00

• $2000.00

A viral video on social media is viewed by 1,000 people on the first day and the views double each day. How many views will it have on the 7th day? Graph the number of views over the week.

• 32000

• 128000

• 256000

• 64000

A certain type of mold grows exponentially. If it starts with 100 spores and doubles every 2 days, how many spores will there be after 10 days? Solve the exponential growth equation to find the total number of spores.

• 2400

• 3200

• 1600

• 4000