Mastering Exponential Equations and Graphs in Real Life

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 12 hours? Solve the exponential equation and graph the function.

• 4000

• 2000

• 10000

• 8000

A car's value decreases by 20% each year. If the car is currently worth $15,000, what will its value be after 5 years? Write the exponential equation and solve it.

• $10,000.00

• $2,000.00

• $7,500.00

• $4,915.20

A bank offers an interest rate of 5% compounded annually. If you deposit $1,000, how much will you have after 10 years? Set up the exponential function and solve for the total amount.

• 1500.00

• 1200.50

• 1628.89

• 2000.00

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 equation and graph the decay function.

• 20 grams

• 40 grams

• 10 grams

• 5 grams

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CCSS.HSF.LE.A.4

A certain species of fish in a lake grows exponentially. If the population is currently 200 and grows by 50% each year, how many fish will there be in 4 years? Write and solve the exponential equation.

• 800

• 600

• 1013

• 1200

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

• 59.05%

• 80%

• 45%

• 70%

A tree's height increases exponentially. If it is currently 2 meters tall and grows at a rate of 30% per year, how tall will it be in 3 years? Set up the exponential function and solve it.

• 6.1 meters

• 3.5 meters

• 5.2 meters

• 4.394 meters

A certain investment grows exponentially at a rate of 8% per year. If you invest $2,000, how much will it be worth in 7 years? Write the exponential equation and solve it.

• 2500.00

• 3436.37

• 3000.50

• 4000.00

A viral video on social media gains views exponentially. If it starts with 1,000 views and doubles every day, how many views will it have after 5 days? Solve the exponential equation and graph the growth.

• 32000

• 64000

• 25600

• 16000

A certain type of mold grows exponentially. If it starts with 100 spores and triples every 4 hours, how many spores will there be after 16 hours? Write and solve the exponential equation.

• 2700

• 5000

• 8100

• 4000