Solving Real-Life Exponential Equations and Growth

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, write an equation to represent the population after t hours and find the population after 12 hours.

• 4000

• 6000

• 8000

• 10000

A car's value decreases by 20% each year. If the car is worth $15,000 now, write an equation to model its value after t years and determine its value after 5 years.

• $4,915.20

• $3,000.00

• $10,000.00

• $7,500.00

A bank offers an interest rate of 5% compounded annually. If you deposit $1,000, write an equation to represent the amount of money in the account after t years and calculate the amount after 10 years.

• $2,000.00

• $1,200.00

• $1,628.89

• $1,500.00

A certain species of fish in a lake grows exponentially. If the population is currently 200 and increases by 50% each year, write an equation for the population after t years and find the population after 4 years.

• 1013

• 1200

• 600

• 800

A tree's height increases exponentially. If it is currently 2 meters tall and grows by 30% each year, write an equation to model its height after t years and calculate its height after 3 years.

• 3.5 meters

• 5.2 meters

• 6.1 meters

• 4.394 meters

A smartphone's battery life decreases exponentially. If it starts with a full charge of 100% and loses 10% of its charge every hour, write an equation to represent the battery percentage after t hours and find the percentage after 5 hours.

• 80%

• 70%

• 59.05%

• 45%

A viral video on social media gains views exponentially. If it starts with 1,000 views and doubles every day, write an equation to represent the views after t days and determine the views after 7 days.

• 512000

• 256000

• 64000

• 128000

A certain type of investment grows at an exponential rate of 8% per year. If you invest $2,000, write an equation to model the investment's value after t years and calculate its value after 6 years.

• 2500

• 3000

• 3173.75

• 4000

A certain type of mold grows exponentially. If it starts with 100 spores and triples every day, write an equation to represent the number of spores after t days and find the number of spores after 5 days.

• 24300

• 30000

• 8100

• 15000

A town's population is currently 10,000 and is expected to grow by 4% each year. Write an equation to model the population after t years and calculate the population after 10 years.

• 14802

• 12000

• 13500

• 16000